Joan,
I can see from the 1920 birth for James Orr Haire that his parents were shown as James Haire & Sarah Orr. They married in 1911:
https://www.irishgenealogy.ie/files/civil/marriage_returns/marriages_1911/09945/5615590.pdf
The only children I can see for them are a daughter Margaret born Belfast 6.4.1912 and then James in 1920. Plus they had a stillborn male on 19.12.1918 who is buried in the City Cemetery (public ground). James died 2nd Feb 1961 and Sarah 21 Feb 1950. Both are buried in Dundonald Cemetery grave C6 387.
Turning now to the Wilson family, this is David and family in the 1911 census:
https://www.census.nationalarchives.ie/pages/1911/Antrim/Eden/Middle_Division/193024/
Note that it says he had 9 children, 2 of whom were dead by 1911. So there’s apparently one more to find, probably registered in the Larne registration area.
In 1901 Albert & William are still living at home:
https://www.census.nationalarchives.ie/pages/1901/Antrim/Carrickfergus_Rural/Middle_Division/991657/
Here’s David’s probate abstract (from the PRONI wills site):
Probate of the Will with one Codicil of David Legg Wilson late of Middle Division Carrickfergus County Antrim Farmer who died 11 April 1922 granted at Belfast to Herbert John Wilson Farmer Effects £262
The will itself is in PRONI. It could tell you where most of his children were at that date. If you go in person you can view it free. Otherwise you may need to pay PRONI or a researcher to copy it for you.
Herbert looks to have inherited the farm and married a Mary:
Probate abstract: Wilson Herbert John of Castleview Milebush Middle Division Carrickfergus county Antrim farmer died 13 March 1947 at Royal Victoria Hospital Belfast Probate Belfast 10 October to Mary Wilson the widow and William James Haggan flesher. Effects £3835 1s. 9d.
No sign of Albert in the 1911 census. Had he already left for the USA? George & William are very common names, and very hard to trace without additional information.
There was no census in Ireland in 1921 (civil disorder).
Regarding passenger lists, none were kept when folk left. On intercontinental journeys eg to Oz or America or Canada, lists were compiled for the authorities in the port of arrival. Those records can be found on the usual sites eg Ancestry and findmypast. If however some of the family went to Scotland or England for work (as tens of thousands did at that time) then no passenger records exist. It was (and still is) just a short domestic journey. You could try searching the Scottish and English 1921 censuses but with a common name like Wilson it’ll be a needle in haystack.
I’d start by getting a copy of that 1922 will for David Legg Wilson.