I should have mentioned I will not get the stem from Europe, but am simply trying to get the right size. In fact, I may have one in my junk box. Yep, it's a Dollar watch and I'll do all that's necessary before investing money.
I suppose that's the right one, but may I suggest that you try to wind it at the barrel (sorry, I don't know how that is done) to check that at least it runs, before getting the stems from Europe.
And for less money you can get a same watch plus two more from the USA
I have this old Tip Top that has a movement size of 1" or 11.26L. The following pictures shows the movement and the replace stem that I think will work. If someone can verify I would appreciate the help. By the way, I have no piece of the original stem.