Unlikely there would be any records that early in Ireland for many reasons, there are a few parish that might be the later 1700's. Many churches were burned to the ground in 1798 as well as having their own fires and if they survived that they the Four Court Fire in Dublin in 1922 got rid of more and the fact the papers were burned to not have to store them.www.rootsireland.ie
put in name and year of birth if you get no record in either county you can try ALL Ireland, if there is a record it would be there if not probably didn't surived.
The Tithe Applotments are the first surviving records that are Ireland wide and used as a census
There are at least Connelly's 193 in Galway at that time, unlike Westmeath 0
In Galway no one has handed down the first name Bryan a typical practice of the Irish.
Griffith Valuation for tax purposes took place in 1855 now used as a census substitutewww.askaboutireland.ie
Bryan Connell Parish Killannin, Townland Ower, Poor Law Union Oughterard (within 12 mi)
house and land, sharing with 1a-y 1116 acres 2 roods 27 perches
tenant of Jn. & Ths Johnstone
1h William Connolly house, outbuildings and land - share of above 1/25
1u Thomas Connolly
1y Bridget Connell is the person renting- landlord
2. Michael Connolly & Peter Mahon - landlords
Except for names usually used in families Bryan stands out and likely would of been an ancestor of anyone using the name.
Bryan Connell, Parish of Noughaval, Townland Loughree, Islands In, Inchbofin PLU Athlone
tenants of Susan Galbraith
1a James Heffernan, house, outbuilding and shared land
1b Bryan Connell, same
1c Patrick Skelly, house, outbuildings and shared land 65 acres 1 rood 31 perches
Early spellings would depend on many things, who could write and who gathered the information.www.igp-web.com
+ county can be a good resource depending on the countywww.censusfinder.com
United Kingdom+Ireland+County (not just census)
The current on line telephone book for both Galway and Westmeath: as spelled
Connelly 27 Galway, 3 Westmeath