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Hello Ken,
 I had read a post elsewhere suggesting Edward son of Michael and Jane was baptized in Avoca,County Wicklow.
  I include a link below to County Carlow listing farmers liable for tithes [ church tax ].Laurence Gittins is mentioned.
 http://titheapplotmentbooks.nationalarchives.ie/search/tab/results.jsp?surname=gittins&firstname=&county=&parish=&townland=&search=Search
 Extended family in the same parish using the Gittens spelling are in the link below.
http://titheapplotmentbooks.nationalarchives.ie/search/tab/results.jsp?surname=gittens&firstname=&county=&parish=&townland=&search=Search

The surname in Ireland is common in counties Mayo and Sligo where families alternate between Gettins and Gethins.

http://titheapplotmentbooks.nationalarchives.ie/search/tab/results.jsp?surname=gettins&firstname=&county=&townland=&parish=&search=Search&sort=&pageSize=&pager.offset=10

http://titheapplotmentbooks.nationalarchives.ie/search/tab/results.jsp?surname=gettins&firstname=&county=&townland=&parish=&search=Search&sort=&pageSize=&pager.offset=10

Percy Gethins is mentioned for county Sligo.He descends from Sir Richard - see below.
https://books.google.co.uk/books?
id=NiVNAQAAMAAJ&pg=PA473&dq=sir+richard+gethins&hl=en&sa=X&ved=0ahUKEwi4pOCD0LPSAhVMDcAKHdu9D9sQ6AEIIzAC#v=onepage&q=sir%20richard%20gethins&f=false

The Gethings spelling is most common in county Donegal and also in Carlow and Wexford.

Laurence

Hi
 My source was the Tithe Applotement Records surviving from 1825.The townland is in Donegal parish and had eleven households including the three McCools and also Owen Galespy [Gillespie].

http://titheapplotmentbooks.nationalarchives.ie/search/tab/results.jsp?county=Donegal&parish=Donegal&townland=Cullinboy&search=Search
I have very little on this family - just scribbled notes - As a matter of interest did Joseph son of Michael serve with the NY Police.