Welcome to Ireland Reaching Out and apologies for the delay in getting back to you.
We are prevented by the unavailability of sources and privacy legislation from providing information about individual's without their consent. You will find that many online sources for records stop in the early 1900s for this reason and archives and museums employ the 100 year rule.
Have you considered the newspaper archives to see if there is any reference to Lilian? There could be on obit or news article - you could try to Irish Newspaper Archives. You can subscribe for as little as one day or for a year, depending on what use you think you will make of it: