I did research this some time ago and the Yates lived in Nechells, one in Cattells Grove and another at 82 Vauxhall Road. One of the sons, James, became a famous pewter manufacturer and his stuff is still much sort after especially in America. James led me a fine dance when I was trying to find his burial place. He had lived in a large house, The Oaklands, in Golden Hillock Road Birmingham but I finally found him buried in Warstone Lane cemetery.
A nice story is that James and his wife were childless but they adopted a relatives child after her parents died. She was a Yates and she married a Yates cousin. When James died he included them in his will and they installed a stained glass window in St Michael's church in his memory. (They lived opposite to the church in Boldmere Road). The window depicted 'Moses in the Bullrushes' also an adopted child.