You would have to order the civil birth record from The General Registry Office or go to www.irishgenealogy.ie
This is the entry from the index:
Name: Catherine Foley Date of Registration: Apr-May-Jun 1884 Registration District: Tipperary Birth Country: Ireland Volume: 3 Page: 599
No I don’t think that is the right one … That particular person was born in the town of Tipperary and is the daughter of Charles Foley and Mary Sweeney.
We are looking for someone who was born in the (parish of?) Drangan and according to Catherine Foley’s 1904 marriage info, her parents are James Foley and Annie Perkins.
This would be their 1874 marriage in the parish of Drangan (Diocese of Cashel and Emly | County of Tipperary) : https://registers.nli.ie/pages/vtls000632692_069
I suspect that the family lived in Curraheen (Peppardstown, Tipperary) in the 1901 census and Catherine would most likely be “Katty”. PDF = http://www.census.nationalarchives.ie/reels/nai003906455/
FYI There is this civil birth registration that I haven’t been able to reject yet:
First name(s) :Catherine
Last name :Foley
Registration year :1884
Registered quarter/year :Oct - Dec 1884
Registration district :Cashel
Dear Mr. Mullins,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Population Schedules for the 1900 Census, and the Population Schedules for the 1910 Census, the Population Schedules for the 1920 Census, the Population Schedules for the 1930 Census, and the Population Schedules for the 1940 Census in the Records of the Bureau of the Census (Record Group 29) that may contain information about Catherine Foley and her family in Massachusetts. The 1940 Census schedules are digitized and available using the Catalog. For more information about the non-digitized schedules, please contact the National Archives at Washington, DC - Textual Reference (RDT1) via email at firstname.lastname@example.org.
Due to the COVID-19 pandemic and pursuant to guidance received from the Office of Management and Budget (OMB), NARA has adjusted its normal operations to balance the need of completing its mission-critical work while also adhering to the recommended social distancing for the safety of NARA staff. As a result of this re-prioritization of activities, you may experience a delay in receiving an initial acknowledgement as well as a substantive response to your reference request from RDT1. We apologize for this inconvenience and appreciate your understanding and patience.
We suggest that you contact The National Archives of Ireland for any genealogical information pertaining to your grandmother and other family members in Ireland before they emigrated to the United States.
You may also wish to search FamilySearch’s Drangan Catholic Parish, County Tipperary, Ireland Genealogy for additional information and/or resources.
We hope this is helpful. Best of luck with your family research!