Chitting first married a widow whom he outlived and about whom little is known. Some time after 1612 he married Ann, the daughter of William Bennet. She died on 8 May 1630 at the age of 27. The two had three children. After her death, he then married Susan, daughter of John Darnall of Hertingfordbury, Hertfordshire, who survived him. Chitting was admitted to Gray's Inn on 4 August 1633, and this was presumably a result of his links with the Bacon family. He died on 7 January 1638 and was buried at Islington. For the occasion, fifty copies of his funeral sermon were printed.