Hi! catrobinson,
My good lady was actually born in Hulton Street, and she tells me that Sloane Street ran from Greame Street, up to and across Great Western Street, then up to Raby Street where it finished.
Unfortunatly she has no recollection of your family, but of course she was but a little girl at that time.
Also on the corner of Sloane Street and Great Western Street was a public house called the Little Western (locally known to all as Charlie Moores, who was an ex footballer I understand). The well known bus route No. 53 used to run up Raby Streeet towards Princesss Road and on to Belle Vue etc.
The return journey, going to Trafford Park ran down Great Western Street and on to Brooks Bar and then to Stretford Road etc.
Your main point of reference must begin at Brooks Bar, going along Withington Road, past the Whalley Hotel on your right hand side. There will be streets going off to your left and they will at least locate you in the vicinity of the original Sloane Street. Perhaps the recently refurbished Central Library would be able to help you further. I wiish you all the best in your search.
Cathaldus