Lisa
You don't give any dates - which would be useful.
I've had a quick look on an old map of Hulme. Phillips Street was the next street to Bonsall Street. A much changed Bonsall Street still exists, but Phillips Street disappeared when Hulme was cleared and re-developed in the 1960s. It was about a 20min. walk to the barracks which were on the other side of Stretford Road. However, there were a number of other army barracks in the area, so he could have been at one of those. The house numbers on Phillips Street went from 1 to 84. I can tell you that on the 1881 census, house number 17 was occupied by Henry Olroyd (a joiner) and his wife Ellen, plus children Elizabeth (3) and Thomas (1). They also had two lodgers, Mary and Alice Holland.