Hi Garngad,
The picture doesn't show much in the way of background features to help pinpoint a possible location but a search of family trees featuring William states he was buried in Bothwellpark cemetery, 22 High Wood Gardens, Bellshill ML4 3PG, which would fit the date and location of his death. Several of the trees also feature a picture of William.
Been a while since I've been in that cemetery but I will keep my eyes out next time I am there.
Dean