I went up top today and removed the shroud oiled the motor, quieter, and took pictures and copied the face plate.
The plate says RMR corp, type N Model N416 CCW, 115v, 2.8/2.2 amps 60HZ capsize 7.5MFD 370vac, continuous fan duty, coleman 6759/311 KA, thermally protected LR 16209, thermally protected E28 G35 7am
I also measured the fan to motor and the shaft is 4 inches. The other shaft runs through a door on the other side and measures 3 1/4 inches.
Most of this is greek and I'm hoping someone here can decipher what I need.
RV Air Conditioner Motors
I have included a link to what I think might work, Thanks for all your help.