Background
Salwey was the son of Humphrey Salwey of Stanford Court, Stanford-on-Teme and his wife Anne Littleton, daughter of Sir Edward Littleton.
Salwey was the son of Humphrey Salwey of Stanford Court, Stanford-on-Teme and his wife Anne Littleton, daughter of Sir Edward Littleton.
He matriculated at Brasenose College, Oxford on 10 November 1621 aged 18. He was called to the bar at Inner Temple in 1635. In 1656 he was commissioner for assessment for Worcestershire.
Salwey married Dorothy Dryden, daughter of Sir Erasmus Dryden, 1st Baronet of Canons Ashby House, Northamptonshire.
In 1659, he was elected Member of Parliament for Droitwich in the Third Protectorate Parliament.