He married Elizabeth Periam (1571-1635) the second daughter and co-heiress of Sir
William Peryam (1534-1604), of
Little Fulford, near
Crediton in Devon,
Lord Chief Baron of the Exchequer. Her mural monument survives in the Basset Chapel (now the vestry) of Heanton Punchardon Church. Within a lozenge at the top and on an
escutcheon to the
sinister are shown her paternal arms of Peryam: ''Gules, a chevron engrailed or between three lion's faces affrontes of the last''. The arms of Peryam are also shown on an oval cartouche underneath,
impaled by Bassett.
Sons • Arthur Basset (living 1635), eldest son and heir, who died childless. In 1635 he erected the surviving monument to his mother in Heanton Punchardon Church, as is recorded by part of the inscription as follows: "Arthur Bassett, Esquire, her sorrowing first-born son, of a duty of gratitude and respect therefore placed this monument to his mother in the year of Our Lord 1635". • Col. Arthur Basset (1598-1673), second son and heir to his elder brother. He was a law student at the
Inner Temple in 1616 and during the
Civil War served as a
Royalist commander. For his delinquency he was fined by Parliament and
compounded for his estates in the sum of £1,321 6 shillings 6 pence. April 1640 and November 1640, and 1661 and
Sheriff of Cornwall in 1627, a
Royalist during the
Civil War. • Elizabeth Basset (living 1642), second daughter, who in 1621 married George Yeo (1597-1671),
lord of the manor of
Huish, Devon, who was admitted to the
Inner Temple in 1618. Her descendant continued at Huish until the death unmarried in 1782 of the last in the male line,
Edward Roe Yeo (1742–1782), twice MP for
Coventry. • Elinor Basset, third daughter, who died unmarried in 1634/5. who was the second son of
John Sparke (c.1574-1640) of The Friary, in the parish of St Jude, Plymouth, Devon,
Member of Parliament for
Mitchell. Jonathan Sparke's mother was Deborah Rashleigh, a daughter of
John Rashleigh (1554–1624), of
Menabilly, a cousin of Mary Basset. Mary's eldest son was Sir
John Sparke (1636-1680), MP, of the Friary, Plymouth, ==Death and burial==