Note:
Place of birth from the Census 1901-1911 is listed as Antrim-Belfast,
I have not managed to prove this with documentary evidence
Have found a birth cert for a Thomas Murphy, based on what evidence is available I can make an assumption that he was born in Belfast (as per census), registered in Radumskean, Carrickmacross, County Monaghan. Possibly his parents felt it time to get out of Dodge, what thye were doing there as Toyah sang about "It's A Mystery"
There is alos an enlistment document from the Royal Irish Regiment 31st January 1902. Where in answer to Q2. He states he was born in Trinity Without, Waterford City.....It gives his age at that date as about 18yrs 9mths
The first child Joseph was born in December 1882, the third son Paul was baptised 6th June 1886. So the date range comes from all the above factored in.