Next time I'm in Chester, and I have my own money to spend a bit of, I shall have a proper pasty, just for those who've been following my search for them. They're sold by a shop called cornwallpastycompany. It's across from Chester Cathedral as well! By the way, their website's awesome, and totally worth a peek.
I shall have to put up with the Ginster's, on every other Thursday night, for the time being, though.