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I've now realised we can rule out John Veitch, Cornet... , who married Rose Anne Swanzy, because he died d.s.p. (without progeny). However, apparently Charles Veitch had other son/s, so another son of Charles might have been my Catherine's father. There was a Charles Veitch of Killeshandra on a list of flaxgrowers in 1796. Maybe he was the same Charles as the Cornet's father....
I found, and "Old Irish Graveyards: county Cavan, part III by Eileen Hewson has (p. 7) a memorial "In loving memory of FRANCIS and REBECCA VEITCH AND FAMILY of Carramore".
Since I don't find places like Carramore and Roseville in a list of Townlands, presumably they are houses? (by contrast, Gartinardress turns out to be a Townland in Killeshandra Civil Parish)

Thanks Dave.
The informant in Catherine's case (d. 1880) was her husband, George De W..
The informant in George's case (d. 1885) was daughter Elizabeth Catherine. She was always close with her parents, as was Rebecca another daughter who was my GGrandmother. We have nothing from anything they wrote or kept which indicates who George and Catherine's parents, other ancestors,  or siblings were.
There was a Will for George, and it was proved by Elizabeth, but I don't know its contents, and if it had mentioned parents of either George or Catherine my brother would have known and told me, as he has helped me with everything he can.   Back in 2004 he was researching the family in depth, and has never come upon anything in that vein.
George and Catherine both trained with the Society for Promoting the Education of the Poor in Ireland (otherwise known as The Kildare Place Society). From the publications of the Society's records (the couple of years' worth I found on the Net), C. was already teaching in 1826 an G. began teaching in 1827 aged 18 (the minimum allowable age). This was a new and innovative movement, and the reason they were teaching in those small parochial schools. (The Model Schools where the training occurred in Dublin, though originally catering for both R.C. and C. of I. schools, evolved eventually into the C. of I.'s T.TrainingCollege.) I contacted the C. of I. Training College by e-mail and was told they don't have a genealogist who can search their records for any hint of parentage/origins of their teachers back then. (Incidentally, several of their daughters and one son were teachers, and Rebecca married John [Lindsay] Johnston/e, another teacher who later worked for the educator and philanthropist Vere Henry Lewis Foster. Anyway, the daughters and the 2 sons did not leave us anything that indicates who the antecedents Veitch and [de] Winter were, and neither did our Grandfather.
The Fenagh search is a good idea for the future, but first i was thinking of trying to make some sense of what is available on Veitchs. (For all i know, George might even have been born outside of Ireland — the family were very keen on French and at least one of the daughters studied German as well, and my grandfather and one of his brothers joined the London Huguenot Society as apparently there was supposed to be a connection through the De Winters; not sure whether this was totally reliable or not.)

My Great Great Grandmother Catherine Veitch married G.A. (George Augustus) [de] Winter. Both were teachers in parochial schools in 1827. Catherine was at Ballyconnell (sponsored by C.of I. Rev. Joseph Story of Craneghan, Ballyconnell); George was at Fenagh in Leitrim (sponsored by C. of I. Rev. J.W. Moore of Fenagh). After they married (place and date unknown, but by 1831 apparently), they appear to have lived in the area round Ballyconnell and Killeshandra, as a certain case regarding a Roman Catholic priest turned Methodist led to George writing an affidavit in support of C. of I. Rev. J. C. Martin of Killeshandra's plea on behalf of the RC-turned-Methodist priest who had been accused of proselytising and had been seized by the Magistrate.
Catherine and George had their first children born in Cavan. Their oldest son was John De Winter; daughter Elizabeth Catherine was born in Cavan abt. 1832ish?; daughter Rebecca ditto, abt 1834ish?. By 1840 Catherine and George had moved on to Grange, nr. Kilmore, Armagh.
Questions I would like help with: 1. Who would have been Catherine's parents?
2. Where did George and Catherine marry, and when?
3. Who were George's parents?
4. When and where were each born?
I have spent a lot of time researching this family on the Net (my only means of doing so) and these questions I have been unable to find the answers to.
Still in hope.....