A plausible assertion, but putting that aside I'm still uncertain of the factual accuracy of the claim. The Sunday Times article corroborates the claim of 26 goals, but the wording of the article, "goal tally", leaves open the possibility that Doig did not kick the entire team's score - i.e. the behinds. If each of those 26.20 came from Doig's boot then I think it would be an amazing result, even if contrived. Not one rushed behind, or touched off the boot, or contested ball off hands, or ...?
There might be some official records of the Fremantle Suburban Football Association hanging around somewhere. Google hasn't helped me to track down a lead yet, though. Any suggestions?