Isabel, very glad you have solved your query. Let me be cheeky and educate [Ray] a little about the Co-op.
The Co-operative Wholesale Society was set up by all the co-ops that we're familiar with. Its members were the local/regional ('Retail') co-ops, not individuals, and its purpose was to harness the buying power of co-ops all over the country to buy produce to seel in their (retail) shops. That is basically what 'wholesale' is. It was CWS that owned the rights to the coop logo, slogans like 'caring sharing co-op', So as Isabel says, there would be no reason for a girl to have an object from a wholesale society. And actually, to have more than one wholesale society would thwart the objective of maximizing the buying power.
Ok so in much more recent times the local societies started merging into regional and then national ones, and some of those merged into CWS so that it was no longer a purely wholesale entity. And more recently CWS recognized that and changed its name to The Co-operative Group.
Why is there a Stockport Street in Stockport? Perhaps I will ask that on a new topic and see what people's guesses are. In the mean time we now know that AWS is (in this context at least) Alderman Wood School.