Double seesaw/windmill

On looking through the chess historical site Chess Notes, a search for items of Irish interest came up with the following curious example, submitted by Oliver Dunne–an old team-mate of mine, as it happens. In fact here’s a clipping of one of the matches we played in, from the Irish Times, 9^th July 1977:

I’ve left it as a puzzle to guess team names and event. Warning: not easy; not easy at all. Here’s another clue: in the previous round, Oliver played John Delaney, and I played Ann Delaney.

Anyway, on to Oliver’s submission to Chess Notes, played some thirty years after the event above:

Oliver Dunne – Pat Fitzsimons
Armstrong Cup (1.6)
[Elm Mount A – Elm Mount B] 24^th Sep 2007

White now continued 26. Rxg6! with the unusual theme that a seesaw/windmill can occur with either rook. Black can’t avoid this, since 26. … Rae8 and 26. … Rfe8 each lead to Black being mated quickly, or suffering worse material losses than the windmill.

[Click to replay the full game.]