Hi Kes
I think you'll find if you can get back further with your names that they will be on census. I have a couple noted as "in tent" on Common Ground, so the census enumerators did manage to track them down quite well.
Was also doing a quick trawl through my names and up popped
Elspeth Alice White born c1846 Falkirk, Stirling, died c1900.
It's quite possible that this Elspeth has nothing to do with your Elsie, but the families were very intermarried so there must be a connection there somewhere.
She married Alexander Townsley 1874
Children were
Townsley, John White
Birth : 22 APR 1872 Cadder West / Glasgow, Lanark, Scotland
Townsley, William
Birth : 23 NOV 1873 Glasgow, Lanark, Scotland
Townsley, Christina
Birth : 10 NOV 1874 Bridgeton, Glasgow, Lanark, Scotland
Death : ABT. 1883 Dennistoun, Glasgow
Townsley, Hugh
Birth : ABT. 1877 Glasgow, Lanark, Scotland
Townsley, Alexander
Birth : ABT. 1879 Glasgow, Lanark, Scotland
Townsley, Catherine
Birth : ABT. JUL 1880 Yoker, Dunbarton, Scotland
Townsley, Alice Elsie Elspeth
Townsley, Robert
Birth : ABT. 1887 Bridgeton, Glasgow, Lanark, Scotland
You'll find them evetually

Sylvia