Hi Matt,
I found a Ward's Court on the 1881 census in the Little Bolton area, All Saints ecclesiastical ward, off Independent St.
I'm not too familiar with this area, but I found an Independent St in a 1970s A-Z off Folds Rd. Nearby is a Bullock St which is also mentioned in the 1881 census, so I think it was around there.
Doesn't seem to help with the 1911 though! It just gives you Ward's Court, Hindley, Wigan. And a search for Independent St gives you Little Lever.
The 1911 search seems very picky, I've had to put parts of names in to find some of mine (no joy on McGibbon, but Gibbon found them

)
Good luck

Barbara