Thomas Hart was born before 1605 at West Hoathly, Sussex County, England. The place of birth is assumed from his residence at time of marriage, but there is no birth record for him in the Parish Register or Bishop's transcripts for West Hoathly. He married Mary Page on 22 April 1630 at West Hoathly, Sussex County, England. Thomas Hart was a laborer before 1644 around at Ardlingly Parish, Sussex County, England. He died circa 1644 at West Hoathly, Sussex County, England. There is a burial for a Thomas Heart "an aged man" in Ardingly, Sussex which may be this Thomas Hart. His will, written 25 May 1640, was proved in 1645 at Lewes, Sussex County, England. Bequests are made to wife Mary and sons Thomas and William. 
This profile does not relate to Thomas Hart, the nephew of English playwright and poet William Shakespeare. He was baptised on 24 July 1605 at Stratford-upon-Avon, Warwickshire, and was still living in Stratford-upon-Avon in 1653. His profile is here.