[2] At the 1722 British general election, Chapple stood for Dorchester with support of the Duke of Newcastle, and was returned as Whig Member of Parliament on petition on 13 February 1723.
According to the 1st Earl of Egmont, when Chapple first entered the House, Arthur Onslow introduced him saying that 'one of the honestest men in England was come to sit among us.'
He was re-elected for Dorchester in a contest at the 1734 British general election but vacated his seat in 1737 when he was appointed a Hhigh Court Judge.
He and his wife left four sons, William, Richard, John, and Joseph, and two daughters, Jane and Grace who married Sir Fletcher Norton, afterwards Lord Grantly.
[4] His eldest son William was apparently married at Wonersh but the entry is erased to the extent that the name of his bride is obliterated – presumably in disapproval.