There is also this marriage from your other thread Carol:
Marriage Oct 1923
Alice Hall = Ernest Smith
District Nottinghamshire
Vol 7b Page 763
It should be possible to find children from the Quigley marriage. As it looks like it may be the easiest option due to the surname, it might be a good one to start with, even if only to eliminate it. Although not set in stone, if the Alice who married Joseph Quigley did not name a father on her marriage certificate, this may add a little weight to this being 'your' Alice. (Though of course we do know that fibs were told on marriage certificates).