Can anyone identify this old Alemite grease gun?

[Bobs29ModelA]

I picked-up this old Alemite mini grease gun at an antique store a while back, for a mere $2.99. It seemed almost identical to the ones that I've seen in pictures of Model A tool kits, except that the loop on this one is shaped slightly differently than the ones I always see in the toolkit photos. The only markings on this one are on the top of the cylinder, around where the plunger enters, saying "Alemite - Made in USA".

Could this in fact be a Model A grease gun? Or, perhaps a later grease gun given with later year Ford (or other maker) car models? Or, does it have anything to do with Ford at all?