You will not get a Birth cert as it's before Irish Civil Registration, which only began in 1864!
Parish records are the only other place, but Parish Priest, do NOT like checking records, yet they will not release them for viewing.:mad:
Here is the Irish Civil Records...
Hamilton William; CarNB(Patrick Carrolls Notebooks-Order of the Bath)
3rd SI 1825 (sub inspector)
described by Major Thomas D'arcy on 29/11/1825;
Lieut Hamilton appears to be an active intelligent officer and promises to be most deligent and zealous, yer temperate in the discharge of his...
Might be family.
1795-1925 Passport Applications of Naturalized US Citizen born in Offaly;
b. 7/4/1882 Kings County
Application date; 2/7/1920
Residence; Sandville RI
Birr family Roots 1901 (was known as Parsonstown)
High st or Graveyard st (14)
Rice Thoms & Teresa; Thomas, Albert, John.
Electors list 1936/36
In Castlebar/Westport Roots 1901 I found;
Castlebar/Castle st (10)
(Corcoran family) living there was Katherine Mc Hale.
Castlebar/Castle st lwr(1)
(Mc Cormack family) living there were; Mc Hale Mary, Kate (shop)
Castlebar/Chapel st upper (17)
Mc Hale Bridget, Thomas, Martin, Fanny.(shop)...
Taken from 'Tipperary Town Roots' 1901 (recorded from origional 1901 census, but with less detail) as the Surname is unusual, there must be a connection down the line.
Mansergh Richard-Southcote; Sophia, Charlotte. (J.P)
I had a look thru both Nenagh & Carrick-on-Suir also, but no...
The 1911 census for Ireland is here; http;//www.census.nationalarchives.ie
and I know it's not the years you need, but might help narrow the area of Tipperary as it's divided into Tipperary North and Tipperary South.