As far as I am aware, there has never been a pub in Stoneleigh village. The village was owned by the Leigh family and I understand they did not allow the sale of alcohol. The only place where it is sold today is the village club.
However Stoneleigh parish was/is much larger than the village and the pub you mention may have existed at one time in one of the surrounding villages -though I'm not aware of one locally with that name.