Wedge was agent to the Earl of Aylesford, whose seat at Packington House was close by, and a friend of Rev John Jaques, the Rector of Bickenhill and Prebendary of Lincoln Cathedral, who left his estate to Wedge.
Wedge owned various properties and prospered from agriculture, as well as taking up surveying (he helped survey the Grand Canal) and he also owned a brass factory in Birmingham.
His description of land drainage works on the Earl of Aylesford's estate at Bickenhill won the Silver Medal of the Society of Arts in 1792.
He was survived by his sons John (1795–1836), Francis (1796–1873), Thomas (born 1798) and Charles (1802–1858).
[2] He afterwards entered the Church of England, as did his son also called John Jaques Wedge (1821–1873).