On the other side of Fountain Street from the Shakespeare, about four doors down, was the Swan Inn in the mid 18th century [1]. The site of the old pub has the ignominy of being the back of Primark these days, previously Lewis's department store from the 1870s until its closure in 1991 (the IRA bomb of 1996 meant Marks & Spencer were temporarily housed here while their Market Street store was being rebuilt).
1. Manchester City Centre 1849, Alan Godfrey Maps (2008).