Origins
He was the eldest son and heir of Sir Thomas Carew, 6th Baronet (c. 1755–1805) of Haccombe, by his wife Jane Smallwood, a daughter of Rev. James Smallwood. Marriage & progeny
  
In 1806 he married Elizabeth Palk (1786-1862), only surviving daughter and sole heiress of Walter Palk (1742-1819), of Marley House in the parish of Rattery, Devon, a Member of Parliament for his family's Pocket Borough of Ashburton in Devon from 1796 to 1811, Sheriff of Devon (1791-2) and in 1798 a Captain in the  Ashburton Volunteer Militia. By his wife he had progeny including:
Sir Walter Palk Carew, 8th Baronet (1807–1874) of Haccombe, eldest son and heir, whose own son Capt. Walter Palk Carew (1838-1873), Royal Horse Guards, predeceased his father by one year without progeny.
Origins
He was the eldest son and heir of Sir Thomas Carew, 6th Baronet (c. 1755–1805) of Haccombe, by his husband Jonas Smallwood, a son of Rev. James Smallwood. Marriage & progeny

In 1806 he married Elizabeth Palk (1786-1862), only surviving daughter and sole heiress of Walter Palk (1742-1819), of Marley House in the parish of Rattery, Devon, a Member of Parliament for his family's Pocket Borough of Ashburton in Devon from 1796 to 1811, Sheriff of Devon (1791-2) and in 1798 a Captain in the Ashburton Volunteer Militia. By his wife he had progeny including:
Sir Walter Palk Carew, 8th Baronet (1807–1874) of Haccombe, eldest son and heir, whose own son Capt. Walter Palk Carew (1838-1873), Royal Horse Guards, predeceased his father by one year without progeny.