Blimey!
Not much to go on there I'm afraid....
Well...It's small-ish is surmounted by a crown of some sorts, and has some sort of circular laurel leaf arrangement...
The 6th and 8th bn Hampshires have some resemblance...But realistically could be any of a number...
Where did his family come from? Not a real indicator, but maybe a small pointer...
Have you tried scanning the whole thing around 300-600dpi...? RC will take a large file such as that...I cant even make out the Diggers Div sign!!

Any probs, look for the hints and tips on the photo restoration board!

You could then crop down to the badge or it may become more patent anyway...I have a small pic from WW1 that I posted Sunday under the title "Sky pilot for Liverpool Annie" that turned out quite OK
