on the 1850's os map there is both a lampton castle(site of) and a Lampton Hall (site of). They are both one opposite sides of the river, which is interesting, bridges being difficult to maintain. they are joined by a Lamb Bridge.

I think that our search are is between Lampton Hall and Worm Hill. There are a number of un-named wells on the sourthern side, and well as Lampton Well, none that I can see on the North side, Alothough Worm Hill is on the North.

I'm still looking into this, will come up with some definitive guesses later!