1800's movement among the parishes

Yes is the answer.  
What name, date and where was the eldest child Baptised?
Dates etc. of any other children.
I have seen the Tithe record for your Edmund Fogarty. Corroge is the Parish which is Tipperary Town area.

Did the family stay in Ireland?

Margot

Hello Margot! Thank you for responding and please excuse my delay in answering your questions. I am not sure what might have happened to Edmund and Margaret Fogerty nor am I sure that the person in the records is a match and simply a coincidence of names. There are other Edmond/Margaret combinations (Derrinlaur, for example) that I do not believe to be a match, however I cannot verify.

I do know that their daughter Johanna emigrated to the US, possibly with a brother, Timothy. I do know her approximate birth year was 1830+-. I find baptismal records for Timothy 1827 and Judy 1829 in Clongariff. There appears to be an Edmund 1831, Denis 1833, Catherine 1835, and Patrick 1838. My relative did not go by the name Judy although I previously posed the question regarding the names Johanna and Judy and it seems Judy may have been a nickname. Johanna married another Tipperary emigrant (Dwyer from Cappawhite) in NY.

I have a lot of DNA connections to the Loughmore/Thurles region with the Fogerty name, however distant. I also have many Cappawhite DNA connections but I am certain they are from the Dwyer side of the family. Along the same vein as my original question, would Tipperary town and its outskirts have been a stretch for someone from Thurles? I found another Edmund Fogerty record or two from Thurles (for Larceny) but I wonder if the baptismal records from Cappawhite/Clongariff could be the same family/people. I am not sure how I can possible verify this so any input is greaty appreciated!

Best regards!

Hi, Don't worry about delay in replying.
I see all the Baptisms you have.

Patrick Fogarty b 30th July 1838 went to the UK.
Are you in Ancestry?     
It would have to be Worldwide version.
Cheers
Margot

Hello Margot. I do have Worldwide membership on Ancestry. I had a look and found the Patrick that you found. I will contact someone who put him in their tree and see if anything comes of it.

In the meantime, do you have any other suggestions for how I might veritfy if this is my Grandmother's family? I am wondering if there are any other local records that might have some other information or clues. Aside from few DNA connections and some solid facts that I know (Johanna born to Edmund and Margaret in Tipperary) I am at a brick wall and have been for years. This information seems promising but the first issue I have is that I do not know about the name Judy being used for Johanna- that seems uncommon. Another issue I have is that I have seen a lot of other folks' trees that list this family from the baptismal records but Derrinaur seems quite a distance from Clongariff/Clonganhue and I don't have a DNA connection to any of them (although I know that doesn't make or break a family connection.)  Again, many, many thanks for your input. Any help is appreciated. I have been working on this for many years.

Best regards,

Susan

Hi Susan,
You really need to work backwards...........

Is this your Johanna?

Johanna Fogarty in entry for Nellie Elizabeth Halpin, "New York, New York City Municipal Deaths, 1795-1949" • FamilySearch

Is this Timothy .......line 31....it's not very clear.
United States Census, 1850; https://familysearch.org/ark:/61903/3:1:S3HY-X499-R2V?cc=1401638&wc=95RV-K62%3A1031311001%2C1032761601%2C1032772301

I have attached a list of 6 births to Edmond and Margaret, one of the children had a Vere Hunt as a sponsor.( he was a land Proprietor)
Was he a relative?
I found a death of an Edmond Fogarty and a Thomas Hunt was present at the death. He is Vere's son.
This is in the   Derrinlaur area.

Use this site...............Edmond Fogarty death 1878.........comes under Clonmel as the registration distrct.
Welcome to Irish Genealogy - Irish Genealogy
This site........when you see a Death record, if it says "Returns page number"  you can follow a link to buy it. 5 Euro as of today.  All others are on line. Several entries to each page.
A Margaret's death is later and a Michael Fogarty was present at the death. 
The list on names I mentioned above are from the Church records they end on certain dates (you have to check each Parish) then if you need Baptism information you contact the Church.
I would list every child to the parents, follow any Marriages and deaths in the site above, then search the census in Ireland.
Townland names changed over the years that are listed in different records. Online.....spelling mistakes don't help either so you have to view each hand written record.

Any questions please ask, then I will try and help more.
Cheers
Margot

Hi Margot. I have spent a good deal of time following up on your recommendations but have not broken down my brick wall, yet.

Through cross-referencing family trees and reaching out to DNA connections, I am fairly certain the Fogarty family from Derrinlaur is not related to my Fogarty family. I am still hopeful that the Clongariff/Clonganhue Fogartys are my GGG grandmother’s parents and wonder if there might be other avenues to follow. I had a good look at the links you referenced but I did not see anything that matched my Edmond Fogarty.

The death certificate you linked is my great-grandmother. I have been able to work backward to Edward/Edmond Fogarty and Margaret Fogarty from Tipperary but that is as far as it goes. 

Regarding my initial question, would it have been likely that a resident of Clongariff/Clonganhue would be found on previous or later records 10-20 miles away?

Thank you,

Susan

Hi Susan,
you ask.....
Regarding my initial question, would it have been likely that a resident of Clongariff/Clonganhue would be found on previous or later records 10-20 miles away?
Yes is the answer.   Parish's closed, some amalgamated, some are new in the 1840's.
The Tithe records are in Griffiths Valuation. The red information is GV and black is the Tithe records.
When people left Ireland or passed on, land was divided, sold or taken over by the the Landlords.  All makes searching difficult.
Hope this helps.

Thank you, Margot. I figured as much considering the difficult time period. I appreciate your help.

Susan