It's funny how I know all these names from years of listening to James Alexander Gordon on Saturday afternoons, many years ago. It was a much loved ritual. And I used to listen to it right through the four divisions of the English league and then on into the Scottish one.
Before looking them up just now, couldn't possibly have told you which league/division Stenhousemuir or East Stirlingshire were in, but I'd definitely heard of them through that BBC source. Just like Hamilton Academical and Airdieonians. (I've always liked those two names, can't explain why… quite fond of Queen of the South, too). You've got more poetry in your club names than we have.
Just looked up where your teams are standing. Well, no-one can accuse you of being a glory hunter! Falkirk FC are actually doing quite well in Scottish League One (as I'm sure you know)… Not tempted at all?