Hi John,
I was unable to find Bridgets birth record on the free site irishgenealogy.ie but you might have information on where she was born or her mother's maiden name that would assist.
I looked for her family in the 1901 census and there was a Michael Mulcahy living in Denmark St - http://www.census.nationalarchives.ie/pages/1901/Limerick/Limerick_No__…
This Michael was an "engine driver at factory" - Bridgets father in 1894 was listed as engineer - I don't know if they are one and the same person or not.
This Michael married Hanora Foley in 1887 and he was a widower so if he is Bridgets father then clearly her mother was deceased prior to that date - https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_re…
If you think this is the right family you could look for the mothers death on irishgenealogy.ie
Michael died in 1905 - https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_re…
You might have some additional clues from family lore or know if Bridget had siblings who's birth record you could look up.
Hope this helps.
