I haven't gone through every post, so I am just picking up on the concept of him arriving/appearing "randomly" in Cambridge Place and I might be able to toss something into the mix there re Kent.
In my tree I have a link to Kent and the Brignalls. I'll try to keep it coherent

Take all this as unsubstantiated with certificates - all done "for free", so not double-checked.
Obadiah Lucas of Cambridge Place (1835-1919) was born in Kent and married Caroline Whitby (1833-1914)
They had several children - in the early days a few of them were being baptised in Kent, so they were actively travelling from Cambridge Place to Tonbridge, Kent in their early married years (m. 1855). Obadiah's family were entrenched in the Tonbridge area for years before this date.
Caroline Whitby had a sister, Emma (b 1835). Emma married John Brignell < 1856).
Caroline Whitby had a sister, Mary Ann (b 1830). Mary Ann married James Brignell.
So two sisters married two Brignells - and their sister Caroline married Obadiah with a Kent connection. Obadiah's income sources appear to be a bit of "traveller/salesman" style.
So you might like to investigate these people who all lived in Cambridge Place.
Somehow the two families met and intermarried and lived among each other - but also travelled back/forth to Kent, probably until Obadiah's parents died (dates unknown).
Hope that helps and isn't a bunch of red herrings.
My interest in this family is that Obadiah's grandson was my grandfather ... and I still haven't found when/where he died...
Obadiah/Caroline are my GG-grandparents.