Bill,
This is what the rim should look like on the correct wheels for your car. Notice that it is smooth until the step-up.
Here is a pic of the whole wheel.
It should be stamped 14X5 on the inside
This blue wheel is to show you the difference on a safety bead wheel. Notice the indent before the step-up.. Also an inside view.
You should also be aware that the '59-'61 wheels have 4 bumps on the outer edge to hold the hub caps. '62 & '63 wheels do not have those 4 bumps. Make sure the rim is smooth all the way around, with no bumps.
Verne