Hello Mary.
I was asked to review your inquiry, since it had a Loughrea reference. I first found your online tree on Ancestry.com, and see you've got a GREAT story attached to Martin! My very first question for you is "Have you tried to get a copy of his death certificate?" It may have the names of his parents listed, since it showed they were both born in Co. Galway. I see that his original marriage certificate does not show the parents of the couple.
But, I was very curious why the family would be taking their child to Loughrea for baptism, so far away from the Dereney area, so I started researching that location in Co. Clare. I believe you should look into the following items, since there are Catholic Churches very near the townland that your ancestor was raised. I first started looking into the Griffith's Valuation, found that "Derrainy" was listed as part of the civil parish of "Clonrush". I found that Clonrush is part of the Catholic Parish of Mountshannon, as well as, in the Diocese of Killaloe. Then I found references that the current St. Flannan Catholic Church, in Whitegate, is the nearest to Derrainy. I would suggest that you contact them to see where the old records might be kept, hoping that they go back into the early 1800's. Once that is done, you can check the Clare Library website, which has a listing of burials in the Clonrush graveyard (which has many "Whyte" names.) There is also a link to the National Archives, showing many Whyte/White and Madden names in the 1830 Tithe Applotment books in "Dereney".
If any of the links do not work, or if you need any further tips on them, please reply, or send me an email directly at Mary@FindingGrandpa.com and I will try to help.
White/Whyte in Abbey Cemetery in Loughrea
http://www.findagrave.com/cgi-bin/fg.cgi?page=cr&GSln=wh&GSiman=1&GScid…;
Griffith's Valuation "Derrainy"; Civil Parish of Clonrush
(If the link below does not work, type the following)
Placename: Derrainy
County: Galway
Barony: Leitrim
Parish: Clonrush
http://www.askaboutireland.ie/griffith-valuation/index.xml?action=doPla…
Griffith's Valuation map shows RC Chapel very near Whitegate; other Catholic churches might be found
You could search the Clonrush Parish listing (beginning on page 71) of Griffith's Valuation, looking for any reference for "RC Chapel" in the column that I marked on one of the attached images; hoping to find old churches, and then researching where the old records of those old churches might be found today.
(View images attached)
(If the link below does not work, type the following)
Placename: Clonrush
County: Galway
http://www.askaboutireland.ie/griffith-valuation/index.xml?action=place…
IRO: Clonrush Parish is part of Inishcaltra
I would suggest for you to post your message on this parish page also, since it is the place that might have your answers, if a volunteer is in the area!
http://www.irelandxo.com/group/clonrush-clare
Wikipedia: Civil Parish of Clonrush is part of the Catholic Parish of Mountshannon; http://en.wikipedia.org/wiki/Clonrush
http://en.wikipedia.org/wiki/Mountshannon
Whitegate RC Church "St. Flannan"
http://www.killaloediocese.ie/parish/mountshannon-clonrush/church.html
National Archives Tithe Applotment Books: "Dereney And Ballinahinch"
http://titheapplotmentbooks.nationalarchives.ie/search/tab/results.jsp?…
Clare County Library: Clonrush area graveyards
http://www.clarelibrary.ie/eolas/coclare/genealogy/don_tran/graves/clon…
I hope this helps somehow!
Mary Van Dyke