Ours was a different game: Mühle. Also Mill or Nine Men's Morris.
I just discovered that Ralph Gasser solved it in 1996 using retrograde analysis and an 18-ply alpha- beta search. [1] Becoming "the first non-trivial game to be solved that does not seem to benefit from knowledge-based methods."
Growing up, we had a favorite game. That is until my sister solved it in that going first you could always win. It wasn't as fun after that.