Weenie,
This is a bit of a long shot but hopefully might be of some help.
You have related: first - that William's occupation in the 1911 census was that of a Blacksmith's Striker; and second - that his year of birth was 1872.
Upon seeing these, my initial reaction was that, in the context of him having possibly served during WW1, William would have been an ideal candidate for (voluntary) enlistment in the Remount Service of the ASC.
Therefore, with this in mind, I speculatively searched via Ancestry to find any soldiers named William Jones whose service was associated with The Remounts. I did this by entering R4/ (exact) in the 'Keyword' search field - R4/ being the prefix indicator for Remounts service numbers.
This search produced multiple results but, of these, one in particular caught my eye. This was for a William Jones with the service number of R4/069218 - so I reduced the number of results by using (exactly) that whole service number in the 'Keyword' field, which narrowed the results down to just 5.
Of these 5 results, the 2 most productive were: the Silver War Badge (SWB) roll and the summary of the Pension Record Ledger for this man.
The SWB roll because it shows that he enlisted on 24 July 1915 - at which time the ASC had been running a national advertising campaign to urgently find (upper-age-restricted) recruits* for The Remounts (*such as Blacksmiths):
and
the Pension Record Ledger because it indicates a) that his year of birth was 1872 and b) that his residence place was Bootle, Liverpool - which, as I am sure you will already know, is not so very far away from his 1911 location at Walton on the Hill.
With regard to the latter record, if you are so inclined, it may be worth signing up for access to Fold3 to be able to see the whole record - as it might reveal additional information that could help you with your post-1911 search for William.
By the way, the nearest Remounts Depot to Walton & Bootle was at Lathom Park in Ormskirk - just 11 miles away, where horses brought in from overseas to Liverpool docks were sent, for preparation prior to being relocated to France.
Willyam