This is a long shot
A Richard Perkins was buried in Birmingham 31 Oct 1806
I have found children christened at Saint Phillips, Birmingham to parents Richard and Ann 1796 - 1805 so I suspect that this may be their father.
Some of their children married at Aston Juxta Birmingham, so to try and verify if this was their dad, I am looking to see if Ann Perkins a widow married at Aston Juxta just after the above death.
Two marriages I have found are
Ann Parkin m Richard Musgrove
10 November 1806, Aston Juxta, Birmingham
Ann Perkins m William James
14 Sept 1812, Aston Juxta, Birmingham
Thanks in advance