The Union Jack stackers were hand made by Andrew and Ray from 1977 through to about 1982 as a "standard" item- in other words you could just buy one if you wanted one (you had to wait about two weeks for them to sew it up). Most are individual pieces sewn together but I seem to remember there being a screen printed one. There were certainly many more than three made, but just how many have survived (all that stitching!) I wouldn't like to guess.
Still a nice thing to have, however, it is probably the worst flying stacker ever made- all the seams distort the kite terribly and usually the only place you saw one of these fly was in a stack (remember the Eurostack, a flexiflag kite for each of the Euro nations?- now that would be a rarity, I think there is still one out there).