19 children, Billy...that is a big family even by big family standards!
Hard period to research in for you. Checked to see whether there may have been any military service papers for father Thomas, but nothing (this can be a source to check for children's names/birth years for the period) but nothing unfortunately.
Hope someone recognises some of the names for you from their own research 
Monica
Hi Monica,
Their father was a miner,
I got the no.19 from a book written by a cousin of my mothers who i cannot mention here,he could be out by one or two but i recon they would have taken up half the street were they lived.
Their mother would probably have been known as 'yon womin wae awe oh they weans'
Trolling Scotlandspeople is slow but i have 2 children only 17 to find,
Somebody somewhere will remember the Greenhorn Clan.
cheers,