I have in my possession a copy of " Pushing to The Front "by OSM printed byGay and Bird, London. It is the Popular Edition and is undated. However the frontispage carries the following inscription handwritten in ink -" M. F. Brooke, with Compliments and best wishes. Christmas 1909. It is signed by what looks like the signature of OSM.
As a matter of interest,are you able to confirm your grandfather's signature? Thanks.