Hi Geraldine,
Church records may be of further use to you. You can check the availablity of parish registers here: http://www.irishtimes.com/ancestor/fuses/rcparishmaps/index.cfm?fuseaction=showidrecords&CityCounty=Mayo&parish=Aughagower&churchid=1037 .
You may find it beneficial to contact the local parish office for assistance http://tuamarchdiocese.org/category/parishes/parishes_of_westport_deanery/
Some other links which may help:
http://www.genealogylinks.net/marriages/uk/ireland/Mayo.htm
http://freepages.genealogy.rootsweb.ancestry.com/~deesegenes/gower.htm
You could try checking the land records called the Tithe Applotment Books (1823-38) or the later Griffith's Valuation (1848-64) for information regarding your Feely relatives. The Tithe Applotment Books (1823-38): Microfilm copies of the books for all of Ireland are available at the National Archives of Ireland (NAI) http://www.nationalarchives.ie/genealogy1/genealogy-records/tithe-applotment-books-and-the-primary-griffith-valuation/ or the Church of Latter Day Saints (LDS) https://familysearch.org/. Griffith's is freely available here: www.askaboutireland.com or here: www.failteromhat.com Failte Romhat has lots of other useful links you could try looking at.
I wish you the best of luck with your search.
Please make sure you link anyone else in your family who is interested in their Irish heritage to our site - and indeed anyone else you know of Irish heritage.
Kind regards,
Genealogy Support
Ireland Reaching Out