If that bike is as old as it looks, it has steel rims with a rolled bead. Modern high-pressure tires won't work. Any 26x1.0 you could find would be a high-pressure tire. But I suspect what the others are saying is true, too: the rim will be way too wide for a 1" wide tire. You can always refer to Sheldon Brown's tire sizing article:

http://www.sheldonbrown.com/tire-sizing.html