Kay,
John Judge & Mary McGrath were married in 1893 in Co. Fermanagh:
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_re…
John Patrick Judge was born at Cornacully, Co. Fermanagh 7th Nov 1898.
https://civilrecords.irishgenealogy.ie/churchrecords/images/birth_retur…
Family in 1901:
http://www.census.nationalarchives.ie/pages/1901/Fermanagh/Lattoon/Corn…
1911:
http://www.census.nationalarchives.ie/pages/1911/Fermanagh/Lattone/Corn…
John jnr in 1911:
http://www.census.nationalarchives.ie/pages/1911/Fermanagh/Lattone/Corn…
There’s no John Judge birth registered in Ireland for 15th August 1901. Irish people in those days didn’t celebrate birthdays and often didn’t really know exactly when they were born. If officialdom later asked for a date of birth then they often just made one up. Cornacully is about 2 miles from Kiltyclogher. It was the nearest big town, and folk might give it as their address if asked where they came from (on the basis that no-one in the USA would have heard of a townland called Cornacully). (In the 1901 census there were 10 houses in Cornacully and the total population was 46). The family farm today is on the Cornacully Rd, Belcoo, Co. Fermanagh BT93.
Here’s a couple of probate abstracts from the PRONI wills site which suggests there were Judges still farming there up until the 1980s anyway:
Judge John of Cornacully Tullyrossmearn P.O. county Fermanagh farmer died 31 January 1928 Administration Belfast 7 June 1951 to James Judge farmer. Effects £23.
Judge Edward of Cornacully Tullyrossmearn P.O. county Fermanagh farmer died 30 May 1939 Administration Londonderry 17 December 1946 to Patrick James Judge farmer. Effects £148 5s. Unadministered Grant P.R. 2.10.1986.