Some info re my question.
Bertie left Celtic for Birmingham City towards the end of the 60/61 season just in time to help his new club get into the final of the Fairs City Club. (The final itself wasn't played till the 61/62 season was under way.) City went on a tour of USA/Canada in the closed season.
Third Lanark possibly as a reward for a high finish in the Scottish League (they finished 3rd in 60/61) went on a similar tour.
What I was told by a mate, a Hihi fan, was that Thirds didn't have enough players willing/able to go on tour so they invited Davie McParland. Whatever the reason Davie did a wee moonlight and went to North America with Third Lanark.
Third Lanark played Birmingham City at least twice, once in Vancouver and at least once in New York.
I managed to find this photo of Davie (surname spelt wrongly but undoubtedly the great man) alongside Jockey Robertson and Junior McGillivray.......http://www.thirdlana...vray-jocky.html