Might have been the Vegetarian C & AC Club?Years ago (I'm talking 1930s here) my grandad was a member of the Vegetarian Cycling Club (that might not be the exact name, I would have to check with my dad who I'm sure has some of the club badges somewhere). This was in the days when you were thought really odd for not eating meat. He was a prolific cyclist though and during the war cycled from SE London to Carlisle to visit my uncle who had been evacuated there.
https://vegetariancac.org/