In 1780, Giles was married to Elizabeth Shipton (1757–1822).
 Elizabeth was the niece, and adopted daughter, of British born William Axtell, a prominent West Indian merchant who had a country place called Melrose Hall in Flatbush in what was then Long Island (but today is Brooklyn).
 Axtell's holdings in America were confiscated in 1784 after he fled to England where he died at Beaumont Cottage in Surrey in 1795.
Giles petitioned Governor George Clinton and the New York State Legislature to vest the confiscated estate to Giles and his wife.
 Through the assistance of Alexander Hamilton, Giles was allowed to purchase the estate for $4,500.
Together, they were the parents of:
William Axtell Giles (1781–1815)
Jacob Edward Giles (1784–1813)
St. Clair Giles (1787–1822)
Mary Ann Baker Giles (1789–1815)
Alexander Hamilton Giles (1791–1791), who died in infancy.

Charles Augustus Giles (1792–1823)
Helen Thorold Giles (b. 1793)
Henry Theory Giles (1795–1877), who was a graduate of the U.S. Military Academy and who married Maria Smither (1807–1865).

George Washington Giles (1800–1840), an attorney who was admitted to the bar in 1824 and who married Elizabeth Ogden (1801–1880), the daughter of William Ogden and Susan Murray Ogden and niece of John and Hannah Murray of Murray Hill.

Elizabeth Giles, who married Daniel Thorne (b. 1784).

Giles and his wife both died in 1822.
 Both Giles and his wife were buried at the Trinity Church Cemetery.
In 1780, Giles was married to Elizabeth Shipton (1757–1822).  Elizabeth was the niece, and adopted daughter, of British born William Axtell, a prominent West Indian merchant who had a country place called Melrose Hall in Flatbush in what was then Long Island (but today is Brooklyn).  Axtell's holdings in America were confiscated in 1784 after he fled to England where he died at Beaumont Cottage in Surrey in 1795. Giles petitioned Governor George Clinton and the New York State Legislature to vest the confiscated estate to Giles and his wife.  Through the assistance of Alexander Hamilton, Giles was allowed to purchase the estate for $4,500. Together, they were the parents of:
William Axtell Giles (1781–1815)
Jacob Edward Giles (1784–1813)
St. Clair Giles (1787–1822)
Mary Ann Baker Giles (1789–1815)
Alexander Hamilton Giles (1791–1791), who died in infancy.
Charles Augustus Giles (1792–1823)
Helen Thorold Giles (b. 1793)
Henry Theory Giles (1795–1877), who was a graduate of the U.S. Military Academy and who married Maria Smither (1807–1865).
George Washington Giles (1800–1840), an attorney who was admitted to the bar in 1824 and who married Elizabeth Ogden (1801–1880), the daughter of William Ogden and Susan Murray Ogden and niece of John and Hannah Murray of Murray Hill.
Elizabeth Giles, who married Daniel Thorne (b. 1784).
Giles and his wife both died in 1822.  Both Giles and his wife were buried at the Trinity Church Cemetery.
Aquila Giles