Loooks like a typical capacitor start single phase motor. Some are designed to change directions by switching two wires around under the cover (not the 120VAC line wires from the wall). Others can be taken apart and rewired. Here's an explanation. I didn't read through it but it looks correct at a glance.
Then yes, that one is built (factory) to be reversable. You should be able to switch the wires from one of the coils (going off memory so you may need to verify my correctness) and it should reverse.
The black wire.
It is run differently than the white wire
It comes into the motor and is bolted to the lug, (see image)
Then it is run to the coil
Then the return from the coil attaches
(See image)
Is the white wire the one I should swapB?(or the black?)
Maybe this will help you
General Electric
Model 5kH43AB12B
HP 1/6
PH 1
Type. KH
Rpm 1725
Volts 110
A 4.2
Cy 60
GEJ 435
Temp rise 40•c
Cast iron body, heavy as hell
Runs silent no vibration after oiling