Hi George,
Looking at a 1900 map and old long gone pub names and trying to equate that to a modern A - Z.
My best guesstimate would be on the opposite side to Piccadilly station, between the Fire Station and Mazels store. The site is now part of the UMIST campus.
London Rd. runs from Piccadilly to the Mancunian Way roundabout, ( near where Mazels was, they were at nos. 122 - 138), then changes to Downing St. on to Ardwick Green.
Hope this helps
Regards, Dave