Wenman was the first cousin of Sir Richard Wenman*.
Wenman was recommended for Oxford by the 5th earl of Huntingdon at the 1628 general election. The corporation, however, promised to support him for the county, and he was duly returned.
Wenman was a close friend of Lucius Carey†, 2nd Viscount Falkland, and a prominent member of the Great Tew circle of philosophers and wits.
