Try FamilySearch?
It's free, but you have to register.
You can search the 1911 (and any other census) by name, and check each "hit".
Do you know the family stayed in Archdeacon Lane?
Or are you making an assumption?
Alternatively, have you tried your local library and/or Record Office?
I can get free access to Ancestry (at my library) and FindMyPast (at Manx Museum)
