I have quite a few Barnwell connections over various years and I lived in the area, near the river, when I was a child. There were still some poor parts then.
I used to go to Cambridge Place to general furniture auctions with my mother. Not much left down there at that time as far as I can recall and just looking at my Cambridge directories I see that in 1930 there were about 60 dwellings, by the next directory I have, 1951, there is just a club, auction rooms, a joiners and a chapel. So must have been a mass clearance at some point!
None of your names in my tree though.
Selina