heywood
Still no success with 1921 census mentions of Thomas and Mary Pemberton but will continue to search as Thomas and Mary were definitely in Crewe and in the areas pf the town that they were long associated with.
Perhaps I am looking at the wrong people then

This is what I see for what I think is your family.
1901 3356 /180/35
5 Alice Street
Thomas is Labourer in Engine and Boiler Shop
Mary has no occupation
1911 they are at 79 Samuel Street Crewe
From hanes teulu’s post they ventured into shopkeeping between 1901 and 1911.
There is a shopkeeper (wife running the shop at number 31 Alice Street) no connection
In 1921 - Monks Coppenhall parish I see
Thomas Pemberton
Mary Brown Pemberton
Elsie Billingham
Henry Edward Billington
Sidney Philip Billington
Is this your family?