Daughter Lilian Louisa Hanakahi Lyman, was born November 2, 1866 and died June 5, 1894.

Son Rufus Anderson Jr. (or Rufus Anderson Mahaiula) Lyman, was born January 14, 1868 and died August 20, 1933.

Arthur Brickwood Keonelehua Lyman was born June 12, 1869 and died August 5, 1871.

Son Henry Joiner Kaleiokalani Lyman was born December 18, 1870.
He became county supervisor for the Puna district in 1912 and elected to the territorial House of Representatives from 1919 to 1921.
He died on October 29, 1932.

Son Richard Jewell Kahekili Lyman was born August 13, 1872 married Phoebe Hoakalie Williams in 1902, and died on December 10, 1954.

Richard Jewell Hailihiwaokalani also known as Richard J. Lyman Jr. (1903–1988) was a member of the 1950 Constitutional Convention, and first State Senate 1959–1962.

Richard J. Jr was appointed to a lifetime term as trustee of the Kamehameha Schools in 1959.

Richard J. Lyman Jr. was named a Living Treasures of Hawai'i in 1982, and an award at the Kamehameha Schools Song Contest, ʻŌlelo Makuahine was named for him in 1989.

Son Norman Kalanilehua Lyman was born March 28, 1875.
He married Emmeline Brown, was elected to the territorial House of Representatives from 1913 to 1927.
He died on July 22, 1936.

Son Eugene Hollis Kekahuna Lyman was born on January 5, 1876 and died on March 22, 1931.

Son David Belden Kuaʻana Lyman was born on December 13, 1876 and died on April 4, 1953 in Honolulu.
His son David Belden Kuaʻana Lyman Jr. was born on January 9, 1913, died March 23, 1970, and was buried in the National Memorial Cemetery of the Pacific.

Muriel Constance Kaniu Hualani Lyman born October 25, 1878 in Paʻauhau and died April 9, 1883.

Sarah Irene Beatrice Laamaikahiki was born on April 30, 1880, and died in 1966.

Clarence Kumukoa Lyman was born February 28, 1882, was the first Hawaiian admitted to U.S. Military Academy at West Point.
He died May 16, 1915, from an injury during a polo match.

Rebekkah Agnes Lyman was born October 21, 1883 and died soon after on October 31, 1883.

Son Albert Kualiʻi Brickwood Lyman was born May 5, 1885, graduated from West Point in 1909, and served as an officer of the U.S. Army the rest of his life.
Over 35 years, he was posted in Panama, France, Cuba and Philippines.
In May 1940 as Colonel he was assigned to Schofield Barracks, commanding the 34th Engineer Combat Regiment of the 804th Engineer Aviation Battalion and 3rd Engineer Combat Battalion of the 25th Infantry Division.
After the attack on Pearl Harbor, the 804th Engineers worked to salvage Wheeler Army Airfield, and the 3rd Engineers worked on defenses for the expected invasion.
Albert was promoted to Brigadier General only a few days before his death August 13, 1942, and had the Hilo International Airport named after him (later the name was applied to a new terminal building).

Son Charles Reed Bishop Lyman, born August 20, 1888 graduated from West Point in 1913 where he played on the football team.
He was namesake of Charles Reed Bishop who founded a system of boarding schools based on the one founded by Rufus Lyman's parents, using an endowment that included the property of Princess Ruth Keʻelikōlani.
He married Polly Richmond (1907–2004).
In July 1942, after Japan attacked Pearl Harbor, Charles, a full colonel, was appointed military governor of the islands of Maui, Lānaʻi and Molokaʻi.
Charles was promoted to brigadier general in 1944 and commanded a brigade of the 32nd Infantry Division.
In June 1945 he deployed in the Battle of Leyte and Battle of Luzon in the Philippines.
He participated in the signing of the peace treaty at Baguio.
He retired to West Chester, Pennsylvania and died April 15, 1981.
He was buried in Arlington National Cemetery.

His grandson continued operating his horse ranch called "Maui Meadow Farm".

Lewis Thorton Lyman was born September 20, 1891 and died October 13, 1948.

Albert and Charles were the first Hawaiians (and perhaps mixed-race Asian Americans) to become generals in the U.S. Army.
Daughter Lilian Louisa Hanakahi Lyman, was born November 2, 1866 and died June 5, 1894.
Son Rufus Anderson Jr. (or Rufus Anderson Mahaiula) Lyman, was born January 14, 1868 and died August 20, 1933.
Arthur Brickwood Keonelehua Lyman was born June 12, 1869 and died August 5, 1871.
Son Henry Joiner Kaleiokalani Lyman was born December 18, 1870. He became county supervisor for the Puna district in 1912 and elected to the territorial House of Representatives from 1919 to 1921. He died on October 29, 1932.
Son Richard Jewell Kahekili Lyman was born August 13, 1872 married Phoebe Hoakalie Williams in 1902, and died on December 10, 1954.
Richard Jewell Hailihiwaokalani also known as Richard J. Lyman Jr. (1903–1988) was a member of the 1950 Constitutional Convention, and first State Senate 1959–1962.
Richard J. Jr was appointed to a lifetime term as trustee of the Kamehameha Schools in 1959.
Richard J. Lyman Jr. was named a Living Treasures of Hawai'i in 1982, and an award at the Kamehameha Schools Song Contest, ʻŌlelo Makuahine was named for him in 1989.
Son Norman Kalanilehua Lyman was born March 28, 1875. He married Emmeline Brown, was elected to the territorial House of Representatives from 1913 to 1927. He died on July 22, 1936.
Son Eugene Hollis Kekahuna Lyman was born on January 5, 1876 and died on March 22, 1931.
Son David Belden Kuaʻana Lyman was born on December 13, 1876 and died on April 4, 1953 in Honolulu. His son David Belden Kuaʻana Lyman Jr. was born on January 9, 1913, died March 23, 1970, and was buried in the National Memorial Cemetery of the Pacific.
Muriel Constance Kaniu Hualani Lyman born October 25, 1878 in Paʻauhau and died April 9, 1883.
Sarah Irene Beatrice Laamaikahiki was born on April 30, 1880, and died in 1966.
Clarence Kumukoa Lyman was born February 28, 1882, was the first Hawaiian admitted to U.S. Military Academy at West Point. He died May 16, 1915, from an injury during a polo match.
Rebekkah Agnes Lyman was born October 21, 1883 and died soon after on October 31, 1883.
Son Albert Kualiʻi Brickwood Lyman was born May 5, 1885, graduated from West Point in 1909, and served as an officer of the U.S. Army the rest of his life. Over 35 years, he was posted in Panama, France, Cuba and Philippines. In May 1940 as Colonel he was assigned to Schofield Barracks, commanding the 34th Engineer Combat Regiment of the 804th Engineer Aviation Battalion and 3rd Engineer Combat Battalion of the 25th Infantry Division. After the attack on Pearl Harbor, the 804th Engineers worked to salvage Wheeler Army Airfield, and the 3rd Engineers worked on defenses for the expected invasion. Albert was promoted to Brigadier General only a few days before his death August 13, 1942, and had the Hilo International Airport named after him (later the name was applied to a new terminal building).
Son Charles Reed Bishop Lyman, born August 20, 1888 graduated from West Point in 1913 where he played on the football team. He was namesake of Charles Reed Bishop who founded a system of boarding schools based on the one founded by Rufus Lyman's parents, using an endowment that included the property of Princess Ruth Keʻelikōlani. He married Polly Richmond (1907–2004). In July 1942, after Japan attacked Pearl Harbor, Charles, a full colonel, was appointed military governor of the islands of Maui, Lānaʻi and Molokaʻi. Charles was promoted to brigadier general in 1944 and commanded a brigade of the 32nd Infantry Division. In June 1945 he deployed in the Battle of Leyte and Battle of Luzon in the Philippines. He participated in the signing of the peace treaty at Baguio. He retired to West Chester, Pennsylvania and died April 15, 1981. He was buried in Arlington National Cemetery.
His grandson continued operating his horse ranch called "Maui Meadow Farm".
Lewis Thorton Lyman was born September 20, 1891 and died October 13, 1948.
Albert and Charles were the first Hawaiians (and perhaps mixed-race Asian Americans) to become generals in the U.S. Army.
Rufus Anderson Lyman