In some theories of epistemology, the distinction between class and individual is not strict, for example the class "mammal" is composed of individuals such as "dog; cat; human; horse", and "horse" in turn is composed of numerous horses (some of whom have names, most of whom do not), or individual humans (most of whom have names). Likewise, the class "element" is composed of individuals such as "helium, oxygen, iron", and "iron" is composed of all of the individual atoms of iron (etc.). Your example seems to be about proper names. There are dozens of cities names Paris, probably millions of people named William, perhaps a few people named Libulule, one country called Mongolia: all of these are termed proper names. In Bantu languages, proper names often have a special property, that of not taking the "augment" which ordinary nouns take. This is a property shared by relational terms such as "mother, father, sister, grandfather...".
Pronouns, especially personal pronouns, don't intrinsically refer to just one individual (whereas proper names might be unique), therefore a billion people probably do refer to themselves as "I" (and many more could so self-refer). The "meaning" of "I" is "the speaker" (at least as computed in a certain context) so there tends to only be one person that "I" refers to (reported speech complicates the generalization a bit). Pronouns are generally a special class of words in languages (though one might also say that Japanese doesn't have pronouns, that's a complicated topic).
It's hard to say what exactly the linguistic analogs are, since it's not clear what you have in mind as the defining characteristic of "class" and "individual". I would guess that it is linguistically driven, in that even though "mammal" is composed of "human; dog; horse" etc. you can ultimately prune the intermediate classifications and say that mammal is ultimately composed of Bill1, Bill2... Bill99384, Jack1... horse1, horse2.... – and you don't say that Bill is composed of "Bill's left arm, Bill's right arm, Bill's left foot..."