Hmm, I've been through the civil registrations for Scotland but the only Ready were Ruddie and all in the 1600's, then a blank for anything later.
I used to have a membership with Scotland's People but the last time I used it was 2011 and I seem to have been removed.
Went looking for Ellen the daughter of Peter and Nora:
18 Feb, 1864 Helen Kilderry, Kirkcudbright, Scotland
Fa:Peter Kilderry and Mo: Norah McKeen LDS C11869-1
Scotland ODM #6035516
Does this fit your time frame?
Why were the children born in Scotland, probably because of work. Obviously that didn't work too well and they find themselves in Birkenhead, Cheshire, England.
1861 Census: Michael age 5.
Maybe that although Michael looks like Rudy it isn't, it could be Reedy? Sometimes writing is hard to read:
Michael Reedy born May 12, 1856 Registration District Kelton, Kirkcudbright #102842
Also Reidy with details as above Husband is Michael Reidy and Nany McKean and same again with spelling Reedy
I guess nobody could decide what the correct spelling was when they tried to transcribe them.
I don't think this is coincidence but the same people
I tried to find the marriage of Peter Kilderry and Nora but keep getting asked to spell it differently.