All that last info looks so promising

So far, what are we thinking...

A Jessie Holland had at least 2 children with a (Frederick) Sydney Arch(i)bold. Possibly a son Sydney Holland, born in 1897 Lambeth London, and a Jessie Holland born in early 1898 (location to be confirmed but likely England).
We have found a possible for young Sydney with his father a Frederick S Archbold actor, in 1901.
Also now found in Lanarkshire, for 1901, is a possible entry for a married Jessie Holland, with a daughter Jessie b. England in 1898 (which fits with what we thought) but married to someone else, a Leland Jones, another actor.
That all kind of works for me in my head

How to make the definite links though....
Monica