Hi, Audrey! My name is Kevin Jewell and I live in San Francisco, California. I read the posts above with interest, because I think we are related.
My grandmother, Anne Marie McNulty (my mother's mother) was born in 1885 in the townland of Callow in Killasser parish, which is mentioned above. Her father was Thomas McNulty, and I think he was either a brother or cousin of your Anthony McNulty. In Griffith's Valuation (a mid-1800's tax survey), there were seven McNulty's holding tenancies in Callow, who were presumably all brothers or cousins. One was named Anthony, so he might well be your Anthony. .One of them was James McNulty, the father of my Thomas McNulty. Exactly how we are connected is uncertain, but if you've done DNA testing, then we could compare results and see how close the connection may be. In the 1901 census, there were still two McNulty families in Cullonaughton, and a dozen or so in Callow (my grandmother appears in that census).
Roger has already mentioned the baptismal records for two of Anthony and Bridget's children: Mary, who was baptized 14 October 1860, and Bridget, who was baptized 24 December 1863. The family was recorded as living in Callow, where my grandmother was also born (she was the youngest child, and some of her older siblings were born around the same time that Mary and Bridget were born) . I think the birth info which you found on Ancestry was off somewhat (possibly, the contributor of the info was misinformed), because the info I have is directly from the parish register. I'm attaching copies of the pages in the parish register for those two baptisms. Mary is shown in the first record, about half-way down the right-hand page. Bridget is shown in the second record, a bit further down the right-hand page. Her name is abbreviated as "Brid", which was common, and was probably what the family called her (the Irish form of the name, Bríd, sounds like "Breedge").
Note that their mother's maiden surname was recorded as "Lensk". The actual surname, Lynskey/Lynsky, is an anglicization of the Irish surname Ó Loinscigh, found principally in Mayo and Galway. The families in the area would have been entirely Irish-speaking in the mid-1800's (even later, my grandmother grew up speaking Irish at home), but most people did not know how to write Irish anymore (they were taught to read and write in English in school, where Irish was not allowed). As pronounced in Irish, the name could be misheard as something like "Linshk" and even the priest who made the register entry may have been unsure how to spell it. In later years, it settled down in most cases as Lynskey or Lynsky, which can be seen in later register entries. There is another surname, Ó Loingsigh, used by several different septs (tribes) in other parts of Ireland, which is believed to be related, but which was usually anglicized as Lynch or Linchy. Ó Loinscigh was also sometimes anglicized as Lynch, but the Lynskey form is much more common in Mayo.
IIn case you want to look for other records in the parish register, it is available online at this link, and the map there shows where the parish of Killasser is located, in relation to neighboring parishes like Toomore (you can use the interactive map at the site to move on to look at the parish register records for other parishes):
https://registers.nli.ie/parishes/0134
If you would like to see more information about the townland of Callow, it can be found at this link. There are also links to info for neighboring townlands, including Cullonaughton, which lies just to the west of Callow, At the page for each townland, you can also access the Griffith's Valuaiton and the 1901 ans 1911 census records.
https://www.townlands.ie/mayo/gallen/killasser/callow/callow/
In case you're interested, in Irish, the surname McNulty is Mac an Ultaigh, which literally means “son of the Ulsterman” (Ultach = Ulsterman, and Ultaigh is the genitive case of the word), but it may simply refer to descent from the Ulaid, a people for whom Ulster is named (in ancient Ireland, the Uluti tribe), which in remote times ruled the entirety of the North of Ireland. According to MacLysaght’s “Surnames of Ireland”, the McNulty surname originated in County Donegal, and that is where the Mayo McNulty’s came from. A family of McNulty's migrated to the Callow Lakes area in East Mayo in the 1640's, according to a history of the parish of Killasser, and in the course of time, McNulty’s became numerous in the region. There are also still McNulty’s in Donegal and nearby counties.
In Irish, Callow is Caladh, which can mean a low-lying area near water, or else a landing place, in either case referring to the nearby Callow Lakes. Callow is a townland in the parish of Killasser, which in Irish is Cill Lasrach, meaning “Lasair’s church”. Lasair (from Old Irish lasar, meaning “flame” or “fire”) was not an uncommon name in medieval Ireland, but Cill Lasrach is believed to be named for a particular saint who was born in County Fermanagh and came to the area, where she is believed to be buried. Callow is located about halfway between Swinford (Béal Átha na Muice = “ford-mouth of the pig”) and Foxford (Béal Easa = “mouth of the waterfall” – it’s uncertain how the English name came into existence), both being in County Mayo (Maigh Eo = “plain of the yew trees”). Callow has its own sub-church, with the "main" church being in the hamlet of Killasser.
When you look at civil (as opposed to church) records in1864 or later, you will sometimes see people being recorded as being born or married in Swineford, when they were actually born in Killasser or Toomore. This is because Swineford was the civil registration district, encompassing several parishes. Note also that, after emigrating, people form townlands like Callow or Toomore would sometimes say that they came from Foxford or Swineford, because they were the nearest towns. Also, note that Irish people in the mid to late 1800's, at least in rural areas, were often unsure exactly when they were born, because the family rarely had such records. That is why ages or birth dates reported in their new countries can be off by several years.
