Hi Elspcam
Great picture and although I will try to verify the next time I'm in Stirling library, I'm almost absolutely convinced there is no connection between the MacBeth Trophy and the M(a)cBe(a)th of Rangers fame.
The family moved to Glasgow soon after the death of the father, Peter McBeath, in 1864 (apols, not 1865 as stated above) and the Callander connection came to an end.
It's understood William later moved to England (approx 1880) and did not return to Scotland to live.
Thanks for taking the time to post - again, all info gratefully received.