Walshes

Do you have a Bridget Walsh born 1869 as one on the children to James and Mary ?

Her civil birth record gives place of birth as what looks like Deryhuldrim. The birtn was registered in Newport district which was dissolved in 1886, and one of the places listed for this district is a townland named Derrycooldrim. The placename database (Logaihm.ie) shows a number of variations for this name including Derryhooldrim etc. Many placenames are anglicized versions of the old names in Irish, so can have a number of different spellings in English. The name in Irish is 'Doire Chúldroma'.

The civil parish for Derrycooldrim is Burrishoole, and the corresponding Catholic Parish is Newport (formerly Newportpratt) aka 'Burrishoole and Newport'. Unfortunately baptism & marriage records for this Catholic parish only seem to be available back to 1872.

Editing to say that the first response you received was posted while I was typing mine.  The Bridget which the other poster found is probably the same one I found on Family Search.

Derry (and variants of it) is the first part of  dozens of townland names in Mayo, but I couldn't find one with a name like Deryhuldrian.  The name may have gotten garbled.

Sloger is probably the townland of Slaugar (in irish, Slogar) in the parish of Kilmeena.  You can find out more about it at this link:

https://www.townlands.ie/mayo/burrishoole/kilmeena/kilmeena/slaugar

The online parish register records for Kilmeena are very limited, but can be found at this National Library of Ireland (NLI) site:

https://registers.nli.ie/parishes/1146

It is often possible to find records for a family in the registers for neghboring parishes, so you might try that.  There is pretty good coverage in Islandeady, just east of Kilmeena, and  in Castlebar, just east of that, so you might find the marriages of Patrick and Frances there (if you go to the NLI link I gave you above, there will be an interactive map which allows you to move to nearby parishes and check their records).

On the Family Search database, I found a married couple named James Walsh and Mary Lally, with records for two children born in Mayo: Bridget (1869)  &  John (1871),   You can see the family at this link:  https://www.familysearch.org/tree/person/details/9697-J7G

There is also what appears to be a duplicate record for that family at this link: https://www.familysearch.org/tree/person/details/MY47-BQP 

Unfortunately, the parish names don't seem to be mentioned in either case (the data was apparently entered by a Family Search researcher from some other record).  However, you could use the birth dates given for the children to search the records in likely parishes.

There is also another record at Family Search for a James Walsh whose wife was named Mary, but they appear to have lived in the parish of Ballinrobe, which is several parishes away to southeast of Kilmeena.

John's birth in 1871  for reference -  place of birth / residence looks like 'Srahlogga'. The only place in the district that looked similar to me on is Srahduggaun

Slight update in my search here! 

I'm now considering that Frances Cowells (as it is written in her son's death documentation in Syracuse, NY) might have been Frances Colwell. I have a DNA match to someone with this surname. Still searching. Thanks for checking.