Hi, Carolyn. Glad the info was helpful. Actually, Neal being in Esker in 1885 is not necessarily a problem, as I'll explain, and I have some additional info for you, as well.
I realized from the map link which I sent you that I could figure out even more about Spaddagh. You'll have noticed that it lies just north of the Meelick Round Tower, which is a local site that is about 1,000 years old, and marks where there used to be a monastery. Triangulating from that map and what is shown on Google Earth, as well as another site which shows the various townlands (the official ones), I figured out that what is shown as Spaddagh on that map is actually in (or consists mostly of) the townland of Killeen, in the civil parish of Meelick. That's an area where the three Catholic parishes of Swinford, Killedan, and Bohola come together (and is, incidentally, close to where my grandfather grew up). You can see more about Killeen here:
https://www.townlands.ie/mayo/gallen/meelick/meelick/killeen/
At that page (and the other pages at that site), there are further links to records for the townland from the 1901 and 1911 censuses, as well as Griffith’s Valuation (mid-1800’s), if they’re available. I checked those links, and look what I found:
(i) In Griffith's Valuation, a Patrick Gallagher is shown as a tenant in Killeen (there are two Patricks shown, but that could well be the same person holding two different tenancies, which was not uncommon). There is also a Neal Gallagher shown. In the 1850's, your John and Neal would have been too young to be holding tenancies, but the Neal Gallagher shown could well be Patrick's father, or a brother of Patrick. In rural Ireland, it was customary for the first son to be named for the father's father, so your Neal could have been named for that Neal. It isn't certain, of course, but you may now have gone a generation further back. You can see the records at this link:
https://www.askaboutireland.ie/griffith-valuation/index.xml?action=doNa…
I should add that, while the name Neal is common in some areas, it does not appear to have been very common among Gallaghers in that area at the time, so finding a Neal in the right place then seems significant.
(ii) In the 1901 census, no Patrick Gallagher is shown in Killeen (presumably, he had died), and there's no John or Neal either, but there is a Catherine Gallagher, aged 75, apparently living with a son named James, age 56. That Catherine may be Patrick's widow, with James being a son of theirs who stayed in Killeen. Ages given in such records are not always correct (people often did not really know how old they were back then), but it would put that Catherine at age 22 when John and Neal were born in 1848 (James would have been born a few years before John and Neal, if he was 56 in 1901, but once again his age as given in the census might have been estimated)..
You can see a transcript of the census record at this link: http://www.census.nationalarchives.ie/search/results.jsp?census_year=19…
So, you now have two good indications that Killeen is the right place. Catherine would not have been shown in Griffith's Valuation, by the way. Just the tenant was shown, so it would usually be the husband (unless the wife had become a widow and taken over the tenancy, because the sons were too young). By the way, you can see the area on Google Earth really well. Just search for "Meelick, County Mayo, Ireland" and it will take you right to where you can see the round tower (my grandfather grew up about 3 miles due south of there).
As for Esker, you may have already seen that the Esker townland in Swinford parish is just to the northeast of Swinford town, but as the crow flies it's only about 3 miles east of Killeen/Spaddagh. After the famine years, and several decades of emigration, there were open tenancies in some areas, so if there was no land for Neal in Killeen, he may have moved to Esker, or the tenancy there may have belonged to his wife's family. My great-great-grandfather moved from one place in Killedan parish to another sometime during or not too long after the famine years, and it appears that he moved to where his wife's family lived, possibly when they got married. I checked the records for Esker, and there was only one Gallagher tenant there in the 1850's, but there were several Gallagher families shown there in the 1901 census (Neal was not shown), so Neal may also have moved to live with relatives of his own.
Hope that has been helpful. I've done dna testing by the way, as have several of my Gallagher relatives in the US and Ireland, so if you have too and want to compare results, let me know. My results are posted at four genealogical sites. I went more thoroughly through my notes and it turns out that there were several 2nd-3rd cousins of my grandfather who were shown as living in Spaddagh or Meelick in baptismal or marriage records in the 1840's (some also in Cloongullaun/Cloonagalloon, which is nearby).
Slán go fóill! {"Bye for now"]
-- Kevin