Hi Reenie,
Thank you very much for your message.
Given the dates that you have mentioned Anne?s birth would have been recorded in civil records as civil registration began officially in Ireland in 1864. Civil records are available from the General Register?s Office in Dublin. Here is their website:
http://www.groireland.ie/research.htm
You can search the indexes to these records up to 1958 online at:
https://familysearch.org/search/collection/1408347
Have you tried looking for the family in the 1901/1911 census records? These can give lots of useful information. I did a search for Patrick Coneely in Galway in the 1911 census and here is what came back:
http://www.census.nationalarchives.ie/search/results.jsp?census_year=1911&surname=coneely&firstname=patrick&county=Galway&townland=&ded=&age=&sex=&search=Search&relationToHead=&religion=&education=&occupation=&marriageStatus=&birthplace=&language=&deafdumb=&marriageYears=&childrenBorn=&childrenLiving=
You could also try searching in church records for information. Most Catholic records are held locally so you may need to write to the local parish priest for possible assistance. One website that you may find useful is the Irish Times where they give an overview of what records are available in specific parishes. It also shows you where copies of the records are available. For Spiddal parish, follow this link:
http://www.irishtimes.com/ancestor/fuses/rcparishmaps/index.cfm?fuseaction=showidrecords&churchid=641&CityCounty=Galway&CityCounty=West%20Galway&parish=Spiddal
As you can see from the above link the galway Family History Society West have copies available. here is their email if you would like to contact them, however please note that a fee may apply: galwaywestroots@eircom.net
Here are some other websites that you may find useful:
The National Archives of Ireland http://www.nationalarchives.ie/genealogy1/genealogy-records/introduction/
The National Library of Ireland http://www.nli.ie/en/family-history-introduction.aspx
Family Search: www.familysearch.org
Genealogy Links: http://www.genealogylinks.net/uk/ireland/galway/index.html
Rootsweb: http://lists.rootsweb.ancestry.com/index/intl/IRL/IRL-GALWAY.html
Galway Library: http://www.galway.ie/en/Services/Library/Archives/#Genealogy
I hope some of this is helpful.
Best wishes,
Genealogy Support