Okay, I'll believe you!
Although I've never used them, Continental makes a
Gator Hardshell and
Gatorskin tires in a 27" x 1 1/4 (32 x 630). Might be hard to find. When I had a 27 inch tire bike, it was a pain trying to find tires for it in the later years. Kenda's were easier to get hold of and they worked well..............at least when not mixed with thorns.