I think the author has got his admirals mixed up:
Quote:
Five miles north west of Birmingham, is Blakeley Hall, the manor house of Oldbury. If we see a venerable edifice without a moat, we cannot from thence conclude, it was never the residence of a gentleman, but wherever we find one, we may conclude it was. Anciently, this manor, with those of Smethwick and Harborn, belonged to the family of Cornwallis, whofe whose habitation was Blakeley Hall.
William Hutton, The History of Birmingham, 1795
Collingwood was indeed from ancient Northumbrian stock, and Newnham Collingwood provides considerable detail, which may not necessarily be 100% correct, but more recent biographies have not cast any doubt on it.