About a few months ago, my eyelid felt a but tight and hurt when I rubbed it. Next I felt a small bump forming on the outer part of my eye. It's not red, doesn't itch, and doesn't hurt unless I rub it too hard. It makes my eyelids look uneven and has gotten bigger. It's not hard, but not squishy. It's firm. Nothing shows on the inside of my eyelid. It's like something is in between my eyelid skin.

This is from the BetterHealth Channel website. I would seem from your description you have on of these:

A stye is a sore and red lump near the edge of an eyelid. A stye is an infection of the eyelash follicle, usually caused by the staphylococcus bacterium. Most styes get better within a few days. Treatment options include hot compresses and antibiotic creams. Professional lancing and drainage may be needed in severe cases.