The exhaust fixture in the ceiling has two fans.
Fan 1: between the white bulb and red heat lamp
Model: unknown

Fan 2: the one over the white light
Originally Nutone, probably model c-68626 or c-68627
Possible replacements are:

Brand: Packard Inc
Model: 65106, C-Frame, 115V, 3000RPM, CCW, 5/8" stack, 2 3/8" long shaft
Bathroom Fan

Brand: Supco
Model: Sm555

Brand: Fasco
Model: k110
Where to buy? Premium Appliance Parts

f you have more part information and would like to make it available, send it to webmaster@netnut.org and I will publish it.