The above is a son of Joseph Rule and Emily Treloar. 1935 and 1940 he is living in Greenleaf, Greenleaf Election Precinct, Canyon, Idaho, United States . According to his registration card Thomas says he was born in Camborne 31 December 1876. I can't find his death.
Ancestry has an entry from US find a Grave for Thomas Henry Rule born England 31 Dec 1876 and died 30 Mar 1969 In Portland, Oregon (Riverview Abbey Mausoleum and Cemetery) There is a picture of memorial plaque on a wall
Don't know if you have it, but they also have his WW1 US Draft Registration Card. His address then was still Canyon, Idaho It is dated Sept 12 1918 So hopefully he didn't have to see action
After your post I found it on Find a Grave. I found it on familysearch I haven't found his Naturalisation record.