Hello Seamiuse,
You do get discrepancies but I must admit I have'nt seen anything like the amount this family has thrown up through the Census. Even so it does look as if you have the right family all the way through. You are missing the marriage details - but I still wonder if the Ohio marriage could be them and they have gone from Ohio to New York and back to Ohio 
Was quite surprised the Ireland thread was locked and directed here when you have most of the US information and it is the Roscommon and Mayo links you need.
Plod on - never say never !!
Regards
Sandra 
ahhhhhh no worries Sandra, "fervent in my pursuits" as the Bishop Patrick would say is firmly implanted in m'bones lol.
you hit th'nail on the head with the moving.
in this order of birth they were;
John F (the son) 1898 was born in ohio
Daniel 1900 in NY
Edwin T 1902 Ohio
Francis J 1905 NY on several ref's but known to be Gerard, Pa)
Helen 1907 Ohio
Katherine 1909 Ohio
Margaret 1915 Ohio
wait, did I miss something? marriage details? I musta missed that. Do tell (or better yet, SHOW! lol)
I was a bit surprised by the lock as well as depending on the time, what was Mayo, became Roscommon lol
still haven't found them coming in to the US yet, but I'll get em lol
onward I go!
Woooooooooooooosh