Linda,
You ask what happened to Thomas, John & Jane. Thomas looks to have died on 10th July 1928 aged 75, regd Ballymoney. (Ages on death certificates then were usually just guesses. That might be out by 10 years or more). You can view the original certificate on-line on the GRONI website, using the “search registrations” option:
https://geni.nidirect.gov.uk
You will need to open an account and buy some credits. It costs £2.50 (sterling) to a view a certificate.
Thomas only married in 1901 and according to the 1911 census did not have any children. His wife Rosetta died in 1936 as you now know.
As far as John & Rosann are concerned, according to the 1911 census, they had 5 children all of whom were still alive, so you have a full list of their children. None was married in 1911. John Mooney looks to have died in 1921. He was living in Ballymoney then, and son Charles was the informant.
https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_retu…
A likely looking death for Rosanne Mooney was 5th March 1936 aged 76 regd Ballymoney. The informant might be one of the children so that might give you a clue as to where they were living.
You know that Rosetta Mooney left a will. She was a widow with no children so it would be interesting to see who she left her estate to. You might expect her to mention her nieces and nephews, so you might get a clue as to where they were from that will. On the other hand the executor was a McHugh and her maiden name was McHugh so possibly she left it to her own family. You would need to get the will to find out.
I had a look on Ancestry but I don’t see any trees for John & Rosann’s family. I searched for marriages in the Ballymoney area 1911 to 1936 but did not see any that might be for the 5 children.
I think Charles followed his father and became a watchmaker.
Ballymena Weekly Telegraph for 24th April 1942 reports that Charles Mooney, Main St Ballymoney had been fined 3 shillings & 5 shillings for not having his bicycle lit correctly. (Presumably 2 separate instances).
Ballymena Weekly Telegraph of 12th December 1952 reports a civil case in the High Court in Belfast. It involved a notice to quit given to Charles Mooney, watchmaker of Main St Ballymoney. The landlord was Robert Joseph Harrison, cycle agent, and the issue appears to have been unpaid rent. The case was settled out of court with a court approved order to quit remaining in force but Mooney was allowed to remain in the premises till 15thNovember 1953 provided he paid his arrears of rent within 2 months and £30 towards the cost of the court case. Mr Justice Curran commented that the settlement was close to his own ideas but he would hardly have given so long a stay as plaintiff had agreed to.
I searched for deaths in the Ballymoney area up to 1970 (which is as far as the on-line records go). There was a Michael aged 49 who died 6.12.1939. Likewise a Charles on 10.1.1958 aged 70. You might want to look at those. I can’t guarantee any of them are your family, just that the names and ages roughly fit. I can find nothing for the 2 daughters Ellen & Anne.
John & Rosann and family evidently left Craigs sometime after 1911. When children reached working age some headed to places like Belfast, Glasgow (fairly typical destinations) or further afield in search of work. Unfortunately with such a common name, and without some idea of where to look, it’s a bit of a needle in a haystack. The other thing to consider for Michael & William is that the First World War started in 1914. They might have joined the army. They were of the right sort of age. (There was no conscription but many young men from Ireland did volunteer).
Jane is a mystery. Reading Thomas senior’s will dated 7th July 1887, he makes detailed provision for Bridget, Thomas & John but just a token payment for his “eldest daughter Jane”. That suggests to me that she was no longer living at home and, one way or the other, was independent of her parents. I had a look for a marriage for her but did not find one in Co Antrim. She too probably had headed off somewhere for work and may be difficult to find without some sort of clue.
The name change from Faulkner to Falconer is completely normal. Spelling was never very important and names changed like that all the time. We have lots of interchangeable names eg Kilpatrick/Kirkpatrick; Robertson/Robinson, Kerr/Carr; Stewart/Stuart. Here’s an item about Falconer/Faulkner taken from Mathieson’s report on Irish surnames:
In his Special Report on Surnames in Ireland, published in 1909, Mathieson includes numerous examples of variation in the spelling of surnames which depended on the whim of the holder. “Some years ago the marriages of a brother and sister in the same family were solemnized in a Registrar’s office. The son gave his surname as “Faulkner” and his father’s name as “Faulkner.” The daughter gave her surname as Falconer, and her father’s surname as Falconer. Both marriages were subsequently re-solemnised in a place of worship, and the same orthographical differences were found to exist in the records kept by the officiating Minister.”
Your Falconer family seem to have had a fair bit of land according to the Revision records. They had plots 15,16, 18 & 19 which are all a quarter of a mile up Mullan Road from the Mooney properties. They are in a locality called Scotch Craigs (reflecting the fact that Scots settled there in the 1600s). Looking at the property on google earth it still looks to be a functioning farm.