I have a set of Araya rims and the old faded labels clearly indicate 27 x 1 1/4 but the inner width measures 14mm. I am confused.

BTW, these are from a 1981 (year via sn) Nishiki International and I've seen references indicating the original rims that year were Araya 20A - 27 x 1.

I know, I know I really should change to 700, but I would really like to keep the bike as original as possible since it is in really good condition.

Assuming they really are 27 x 1 rims, can anyone suggest a source for tires in that size?