Horrible loud screeching noise from....brakes?

How would anything in the transmission cause the car to pull to one side?

 

I have to check the rest of the wheels. I'm hoping this is the problem. It's weird how when you're driving you hear the rotating noise and it feels like the car is braking slight, by itself.

 

Jack the car up on one side. Support it on jackstands. With the wheel off the ground, do not remove the tire just yet. Grab the tire from the sides and try to move it back and forth. Usually if the wheel bearings are bad, you'll notice some play here. Go side to side, and up and down.

Look for movement at the wheel/spindle, not in the suspension or steering parts.

Example:
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I have been having a similar problem with my 72 skylark.. i have 20 inch rims and still have the drum brakes... every time i press the brakes the is a LOUD screeching noise.. but it only happens when i press the brakes.. it doesnt happen constantly while i am driving.. any ideas what it could be?

 

See now yours just sounds like you need new shoes. Been there done that! I'm new to wheel bearing going out though. Still have to check mine.