Some of the information you are looking for is fairly recent and we aren't allowed to post details of living/possibly living people. The 1911 census indicated that one of their 10 children was already dead and by checking deaths (Park in Larne registration district) it easily shows that child is William James so there will be no descendants from him-
https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_returns/deaths_1910/05422/4515666.pdfEllen (Robinson) Park died a few years later-
https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_returns/deaths_1913/05338/4486300.pdf Husband Richard Park died over 30 years later-
Park Richard of Bryantang Ballynure county Antrim farmer died 7 April 1945 Probate Belfast 1 August to Richard Park and John Park farmers. Effects £4713 12s. 6d.
Once PRONI re-opens you should probably check this Will to see children mentioned, etc.
An online tree has son Alexander as Alexander Pringle Park who died 1937 in China which seems to be incorrect-
Parke Alexander Pringle of Maymount Crilly Aughnacloy county Tyrone and Lanchung Szechwan China medical missionary died 16 May 1937 at latter place Administration (with Will) (limited) Belfast 24 January to Robert George Connell solicitor. Effects £539 13s. 1d.
Looks like son Richard-
Larne Times, 17 July 1937: New Buildings… surveyor to be in accordance with the building by-laws, plans submitted by the following were approved—Richard Park, dwelling-house at Bryantang; …
1943- a Richard Park of Bryantang
Bryantang townland is just on the edge of Ballynure-
https://www.townlands.ie/antrim/belfast-lower/ballynure/bryantang/ Lots of articles in the Larne Times (Find My Past, a pay site).
For such recent dates (vital records on Irish Genealogy only go up to 1921 for Northern Ireland counties) you'll need to search GRONI's database and either purchase credits or pay to vie certificate (depending on dates involved).