The Pickwick was another pub, like its neighbour a few doors up (Upper) Brook Street, the Royal Oak Inn, that was lost in 1965 due to redevelopments . Named after the Dicken's novel, The Pickwick was also a Wilson's house that was a door or two away from Grosvenor Street, so its location would have been where the blanked whitewashed building is in the below shot.
Former location of Pickwick, Upper Brook Street. (c) googlemaps.
1. The Old Pubs of Hulme and Chorlton-on-Medlock, Bob Potts (1997).