Hi Gadget
The answer is yes and no. In 1894, both shops were being run by Mrs. Maria Antonia Rizza and both were ice cream shops. But Maria was only 16 at census time in 1891 and living either in Glasgow or, at a push, still in Italy. It's her husband (Michelangelo Rizza or Rizzo) who was the confectioner, but he's with his brother in Glasgow on the 1891 census. However, he was one of the many Glaswegian Italians who got out because of the huge amount of competition in that city (from fellow Italians), and I know he was present in Berwick at very regular intervals no later than the beginning of 1891. But neither the husband nor the wife will appear in the Berwick census.
However, his presence in Berwick was probably to do with the setting up of his business which was later to be run by his wife while he had a look around Edinburgh. I'm just hoping that I may be able to link the name of whoever was in the High Street shop at the time to Michelangelo.
I'm beginning to wonder when the street name change from High Street to Marygate occurred, and whether that had big effects upon the house numbering?
Mike