The newspaper report of the inquest into the death of Mr Wells senior states that he was LATE of Grove Mansions, so it seems more likely that he and Emily had moved in with Reginald, Carissima and their child (perhaps taking with them the other family members shown in the 1901 census for Grove Mansions), rather than the other way round.
If Mr Wells senior was travelling back to them by train after his morning appointment in the City, and the train went from Cannon Street to Dartford en route, where was his destination (bearing in mind the later births registered at Malling)?
Trottiscliffe and Trosley are indeed the same, cf. Wiki.