According to the 1860 White's Directory for Cheshire, Wilmslow parish's "living is a rectory". So, Rector's Farm would have made sense but Vicar's Farm, in the sense of a priest, seems less likely. As you suspect. There is nothing visible in the 1873 Return of Lands for a Mr Vicker(s) in the area - but I note there are other spellings elsewhere in Cheshire, such as Vickars - maybe something like that was the original spelling? Adrian B