Oh heck, let's go the whole hog - Kemble on Thames..
Still a long way to go before the whole hog, surely, how about the twin parishes of Eton-on-Thames and Windsor-on-Thames connected by an over Thames bridge and then there's the parish a bit farther up stream, the current home of the current lodger in 10 Downing Street in the parish of Wesminster-on-Thames, oh yes, I remember, Maidenhead-on-Thames. I'm sure there are still more parishes that have yet to be suggested on this form that they adopt the -on-Thames suffix. While about it why not christen a few more parishes in the
UK▸ with an -on-(river name) such as North Somerset-on-Avon and my own home parish of Yate-on-Frome to start with.