If you can't figure out a good name for your function, what do you do? I sometimes struggle with this and I'll sit back in my chair and I'll restate what the function does. Usually the name of the function will just magically occur at that

I agree completely. Having trouble naming a class, function, method, variable, etc. is a classic pointer to a design problem.

Have a look at Using Good Naming To Detect Bad Code and Vague Identifier for some related issues to do with method naming and class structure.