http://www.scottisharchitects.org.uk/building_full.php?id=209180
I suspect that one or both men were involved in the original building of Collessie Free Church and re-used the design at Lundin Mill....and possibly elsewhere. It was not uncommon to find this 'recycling' with school buildings either then or now. The present 1974 school in Lundin Links also has 'twins' at other locations. Anyway, all of this accounts for why the original 1857/8 version of the Lundin Mill School looked so church-like in appearance!