I was doing well LM, but running out of options.
Not picking these two up in workhouse records?
In that last book available, from 1897, there's also William Marshall, born 1884, alongside the entries for James + Alice, but I don't think he is anything to do with them (his father was Joseph)
They seem to have lost the mother ("no trace")
Couple of discharges for Alice in 1898, the second one was to service with a Mrs Nursh or more likely is Marsh perhaps?, 50 Pelham Rd, Wimbledon.
Might be worth looking at the London Poor Law School District Registers on ancestry, which they have indexed.
John