The last time this happened, I was still collecting baseball cards (I had a "magic-motion" one of Clemens that I was particularly proud of), and going to Catholic school, and all kinds of crazy long-ago stuff.
Called dad and agreed that we can, for the sake of conversation, refer to that prior series without speaking directly of it. jadelennox suggests that one can safely call it "The Scottish Series", which I think is kind of awesome.