According to the Visitation of Essex, John Wright of Wrightsbridge and Martha Castell had 3 sons John, Nathaniel and Robert. Various sources have his lifespan as 1567-1644 but he died in 1632.
John was a relatively notable person. He was the Clerk of the House of commons from 1612 to 1632, assisted by his son John and I see no reason to have excluded a son named Samuel in this tree.
ACAD: Samuel Wright was admitted a fellow commoner at Christ's College 28 Jun 1644, son of Nathaniel, merchant of London and the nephew of John Wright of Wrightsbridge. He went BA 1645/6, created DD Oxford 1661 according to Foster. One name was Rector of Stockton, Wiltshire, 1660, another was ejected from Heanor, Derbyshire 1662.
Nathaniel is mentioned as the younger half-brother of John Wright in the profile. A different pedigree submitted by Nathaniel for the Visitation of London of 1633-4 has his parents as John and Bennett Greene and having an older brother Samuel Wright. But there's no proof that Samuel is this profile, also apparently this was a somewhat political document changing the name of John's 2nd wife from Blesby to Greene.
Also, Wrightsbridge is an interesting estate because to my eye it is a copyhold of the manor of Havering and described by the VCH of Essex as a tenement in Romford, with somewhere between 60 and 80 acres but somehow it gets elevated to manorial status. I don't think it was a manor.
Its a tough tree to process but ultimately Saumel's parents are a guess w/o any evidence so something needs to be done to improve the sources or they should be disconnected.