Don't remember seeing anyone wanting to immigrate to become a soldier before! (Occupation "Teamster" on immigration) I see that Joseph claimed to have also spoken Russian?
Odd that Joseph claimed (while in his choice of military service) to have immigrated in 1914 on the 1921 Quebec census. So you're searching for the evidence of a military past in England?
I see that he was in an institution 1911 census & that father Joseph was also in one as a lad & again as an adult as well.
It was/had a military school - in Hereford St Owen, Hereford City, Herefordshire, England
www.familysearch.org/ark:/61903/1:1:X7J1-MJLThe census info, although not yet connected to it... also points to a family tree!!!
J.J.
*Oops, deleting those results I added...were for surname Beckhurst