The crowning piece of evidence was in the 1891 census records. By now Alice is 16 and her occupation is listed as being a "Milliner Apprentice". We therefore have a possible solution - the hats were stock in trade, borrowed for the big day from the brides' workplace. Whatever the explanation, it does seem likely that it was the wedding of Abraham and Alice which took place in the Spring of 1900. So, a little late in the day, we can finally publish the picture, and the report :
"The wedding took place on Saturday 23rd April 1900 of Abraham, son of Smith and Margaret Moore of Percy Street, Horton, Bradford and Alice, eldest daughter of Thomas and Lydia Rotheray of Smiddles Lane Bowling, Bradford. The bride wore a dress of starched white silk ....."