He was the son of Sampson Ingleby (died 1604), a steward of the Earl of Northumberland, and his wife Jane Lambert from Killinghall.
He was made a baronet on 17 May 1642 by Charles I. Ingleby was a Royalist and fought at the battle of Marston Moor.
His sister, Jane Ingleby, refused entrance to the Parliamentarians, but agreed to speak with Cromwell in a drawing room.
In some versions of the story, she held Cromwell at gunpoint in the library.
Her mother Anne or Agnes was a daughter of Henry Curwen of Workington.