MDK:
Here are the O'Neills in Warrenpoint from head of household index of 1901 census. Looks like we have Terence there so you might be able to get some of the children on the census.
Patrick O'Neill Warrenpoint Church Street Warrenpoint 1901_Census Warrenpoint Division
Henry O'Neill Warrenpoint Peter Street Warrenpoint 1901_Census Warrenpoint Division
Terence O'Neill Warrenpoint Post Office Street Warrenpoint 1901_Census Warrenpoint Division
Margaret B O'Neill Warrenpoint Sea View Street Warrenpoint 1901_Census Warrenpoint Division
Patrick O'Neill Warrenpoint The Square Warrenpoint 1901_Census Warrenpoint Division
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http://www.caora.net/find.php Broken linkI also did a quick search on Ros Davies' site and think I found Terence's father and mother.
http://freepages.genealogy.rootsweb.com/~rosdavies/SURNAMES/ONeill.htm Broken linkRos Davies' Co. Down website now here:http://freepages.genealogy.rootsweb.ancestry.com/~rosdavies/ Patrick O'NEILL . Warrenpoint husband of Alice Hughes ; father of Terence b. 30 Aug 1869 CR
You might want to do a search there also for Murphy.
Checking the Vital Records Index I found info on birth together with Film Number for Terence and his sister.
O'NEILL, Terence Birth
Gender: Male
Birth Date: 30 Aug 1869 Birthplace: 864, Warrenpoint, Down, Ire
Recorded in: Down, Ireland
Collection: Civil Registration
Father: Patrick O'NEILL
Mother: Alice HUGHES
Source: FHL Film 101190 Dates: 1869 - 1870
ONEILL, Catherine Birth
Gender: Female
Birth Date: 24 May 1874 Birthplace: Warrenpoint, Down, Ire
Recorded in: Down, Ireland
Collection: Civil Registration
Father: Patrick ONEILL
Mother: Alice HUGHES
Source: FHL Film 255900 Dates: 1874 - 1875
Well, I hope that this is indeed your Terence and good luck in your further searching. If you think I can be of any help, let me know. I originally came from Warrenpoint but am now in US so I do have a soft spot for anyone with family there.
Pat