To confirm you are on the right track, as CaroleW has mentioned, checking the 1918 marriage would be a good next step to confirm her parents' names.
There is a Catherine in Falkirk in 1901 as it happens, but without knowing her birth year, it is hard to know if this could be her with family. All the children showing as born in Falkirk:
Edward Lynagh 46 mason b. Ireland
Annie Lynagh 32 b. Ireland
Maggie Lynagh 11
James Lynagh 9
William Lynagh 7
Patrick Lynagh 5
Catherine Lynagh 2
...and 4 boarders.
Address Silver Raw, Falkirk
Checking births in Falkirk on SP, mother's maiden name is showing as Henry (and variants).
There are further likely births showing on SP post 1901.
Monica