Hi
If we agree that the Teagle name being given to George suggests an arrangement, then I find it hard to believe that Edwin Smith was still around at the time of the birth. Why would he want his son adopted?
Whether Edwin was George's his father or not, I couldn't say. If not, then Jane told a bit of a fib when registering George's birth!
Even if Edwin wasn't really the father (and we don't know that!), it doesn't necessarily mean that George Teagle was. What would Rhoda have made of it all?
The problem is that we don't know for sure what happened to Edwin after 1891.
We can add him to an ever growing missing persons list!
Sybil Smith - two school records for her in Wandsworth. Date of birth 6.6.95. Mother Jane at 80 Stewarts Rd.
The second one says that she was withdrawn from school, 14.2.02, In Workhouse
There's a record of her going to the school at Anerley.
In the London Poor Law Records on ancestry
https://search.ancestry.co.uk/search/db.aspx?dbid=1557Right hand side, under "Browse this collection"
Borough Wandsworth, Union Wandsworth, record type Register of Children,
scroll down to North Surrey School District, Anerley School: Register of children, 1885-1904
images 361, 362
Are you able to get hold of this?
Because there is some stuff written, may be useful, I think it relates to her but the entries on the pages are a bit cramped up.
John