Alternator getting hot

[Chevy nutcase]

Was farting around rebuilding the carb on my 66 c10 today and I have 2 questions. One, did these 250s come with an alternator or generator? If originally a generator then the PO switched it to an alternator. My second question would be after a cold start and running for barely 5 minutes, should it get hot enough it's just past the point where it's too hot to touch? One other thing I might add is the battery was half dead for this so maybe it was just working hard? Idk