Thanks MonicaL, it did look vaguely familiar so I knew I'd probably considered and rejected it, and it must have been for the reason in your postscript! Maddening, isn't it - such a common name in that part of the country.
I've ordered that first wedding certificate from 1902, so I'm hoping there might be a clue about his father there - maybe an occupation or first name, even if he fudged the surname (I've seen this pattern on other wedding certificates of illegitimate children). The fact that no details beyond "deceased" were given in 1910 really does scream "illegitimate" to me, though perhaps the transcription could be a factor?