Long before the current situation, in about the 1880s/90s if you were to ask a local who was the third biggest team in Falkirk District [clearly 'Shire then Falkirk [in that order] would be 1 & 2] they would probably look at you then say "Camelon" with the unsaid "ya div" left hanging in the ether.
If you were to ask who was fourth, it would be murkier, but I would lay a bet that they would more likely say Gairdoch before Stenhousemuir.
The village of Carronshore is not where you might find a really good football team [do not get me wrong shoreites, the village produced many good footballers, many who eventually joined other, bigger clubs] but it is too small to attract a big enough crowd to pay them players. They were helped by the fact that T.D.Brodie [their Patron] let them play at Dovecote Park without paying rent.
But even that could not stem the tide of professionalism, eventually FFC, ESFC & clubs further afeild pilfering their best players meant they collapsed into nothingness: they were reborn into a junior side, but even that could not sutain itself.
It is sad, as they really did produce some good players.
I have never tracked down the exact location of Dovecote Pk, but get the feeling that it might have been somewhere close to the Dovecote.