Directly references Aradesh as the president of the NCR. This is before we officially find out how unnaturally old he is.

Where exactly does that put him on the timeline, then? In-between Fallout 1 and 2, yeah? And then he mentions in his next memory who he's working for, which ought to be around qhen Fallout 2 takes place. Think one of those nameless mooks we meet in Fallout 2 could have, in a headcanon sort of way, been Kellogg?

Also, does anyone have a transcript of the radio broadcast during that memory? They talk over it, so it's hard to catch all of it... which I'm guessing was a deliberate move on Beth's part.

Nah, Kellog must've been working for Shi well before F2.