That's not a standard unit in Linguistics. There are various things you could call it, such as a noun phrase*, or identifier, etc., depending on your purposes. (It's possible that someone doing very similar research to your own might already have some labels for these things, though.)
[*Note that the structure isn't really like typical spoken English. The parenthetical indication of years is really just a convenient written annotation, so it may not break down into a typical syntactic structure. It serves to help identify the individual, and to give additional information, but we wouldn't typically say it like that. So it's equivalent to a name, but not in a typical form.]
In general, terminology is less important than using labels consistently and defining them somewhere. So if you need to make up terms, go ahead, and just be clear.