hiya louisr,i have the cwgc war graves registers for all of warwickshire,and hes not buried in that churchyard under a cwgc stone,but many familys preferred a family grave,so he may be in a private grave,i can eliminate coventry for you,i have the roll of honour,these are the only w wilsons from coventry.
pte william wilson
3rd cheshire regt
born 4-11-1868
died at home 28-5-15
buried in coventry cemetary
lived at 36 alma st ,coventry
worked for coventry gas corp
enlisted jan 1915
pte william,henry wilson
2/5th worcestershire regt
killed 1-11-18
resided at bilton hall warwickshire
worked for armstrong siddley motors ltd
mack