Using Heritage-Quest, I looked in 1910 Hamilton and there were no James of Flora Jenkins listed at all. A search of the entire state showed 35 James Jenkins, but no James T. Jenkins. Searching for a common name helps if you give an approximate age for that year or a DOB. If their birth state is different from their Census state, that can be a big help if the name was misread by the transcriber. If you come up with additional search aids, email me direct.