Conrad,
I’ll start with the Linenhall Library. Firstly, it’s an excellent library. I think it may be the oldest library in Belfast and it has a fair bit of genealogical material. However it doesn’t have anything directly to do with the linen industry, though it may have books on the subject. It’s name comes from the fact that it was built across the street from Belfast’s Linen Hall, and presumably the founders thought that it would make a suitable name for their library. But it’s not a specialist repository of linen records, if that was what you were hoping for.
Most people in Ulster were involved in the linen industry at some level. The poorer labourers grew a bit of flax on their own patch of land and also harvested bigger crops on farmers lands. They did the really hard work, processing the raw material separating the flax from the unwanted parts of the plant (which often made your hands bleed), and then spinning and creating reels of thread. They then wove this into linen. Until the mid 1830s, nearly all linen making was done at home on hand loom weaving machines (such as are still used in the Outer Hebrides in Scotland, to make Harris Tweed). These machines were collapsible and could be taken with the labourer/weaver if he moved home.
In the 1700s and early 1800s, the weavers made linen in the winter months (when there was no labouring work on the farms) and this gave them a bit of cash (in a barter society) as well as ensuring they had a slightly better standard of living than other parts of Ireland where linen was not made. The cloth was taken to local markets and sold there. I suspect the nearest in the Lissan area was probably Magherafelt. The local Linen Hall was responsible for quality assessing and authenticating linen. A bit more about the linen industry on this link:
http://www.fergusonsirishlinen.com/pages/index.asp?title2=History-of-Irish-Linen&title1=About-Linen
Bleach Greens were used to bleach better quality linen white. Poorer quality linen, as used by the working man, was grey or brown, and remained that colour. (Waste of time dyeing it if you worked on a farm). Wealthy folk preferred white linen which was achieved by bleaching and drying on a bleach green and then by being hammered for some hours in a beetling mill till it became crisp and shiny. Like the linen most people think of today.
So you had a process where the labourers turned out the raw materials and wove small pieces of linen, which were sold at local markets to buyers who then sold it on to tailors and other processors till it became table cloths, suits or whatever.
Here’s a link to a history of Magherafelt which covers the 1700s and which might contain some references to the main linen agents in the area:
http://archive.org/stream/historyofmaghera00mait/historyofmaghera00mait_djvu.txt
If your ancestor made linen, he might well have worked on a farm or used a bleach green, but if he was further up the supply chain, ie a merchant, he would have lived in a more comfortable location, probably in a town. Not on a “bleach green farm”. So you might need to consider from his circumstances which end of the process he was more likely located. If he was a linen merchant, then he may show up in some records. A linen weaver in the 1700s probably won’t.
Here’s the 1824 directory for Magherafelt. It lists 1 linen inspector. No linen merchants.
http://www.failteromhat.com/pigot/0110.pdf
The Irish linen industry was not generally noted for keeping records.
I note that the family history describes them as having originated in the vicinity of Glasgow. That sounds reasonable. The main influx of Scots to Co. Derry was in the 1600s. I did wonder about the accuracy of the original statement that “they immigrated from Glasgow,” at a time when Glasgow barely existed, but coming from the Glasgow area - the description in this latest message - sounds fair enough to me. Unfortunately half the population of County Derry also came from that area or the south west of Scotland. There are no records in Ireland or Scotland that will enable you to make a paper link back to Scotland for someone who came to Ireland in the 1600s. However DNA might find a link. So consider that. The 1901 census for Co Derry has 487 people named Hunter, most Presbyterians. So it’s a very common name. And they are all of Scots origins.
The Huguenot link sounds very reasonable to me. Many Huguenot refugees came to Britain and Ireland after the revocation of the Edict of Nantes. Initially in Ireland they set up one or two Huguenots churches but later as they melded into society they tended to become Presbyterians. Their doctrines were broadly Calvinist and so that aligned with Presbyterianism more than with the Church of Ireland. Many of them had been involved in linen making in France and so they brought those skills with them too.
There are a number of commercial sites with Irish graves on line. But they don’t have all the graves from every possible graveyard (of which there are probably 20 or more in the Desertlyn and surrounding area). Some sites here:
http://www.irish-world.com/gravestones/index.cfm
http://irishgraveyards.ie./index.html
https://www.discovereverafter.com
http://www.igp-web.com/IGPArchives/headstones.htm#gsc.tab=0
For a good description of life in the Desertlyn area in the 1830s, you could read the Ordnance Survey memoirs. These were compiled on the instructions of the Duke of Wellington (then Prime Minister) primarily for taxation purposes. So a bit like the Doomsday Book. They were compiled parish by parish, and describe the inhabitants, their occupations, pastimes, habits, they analyse the various different denominations by number, and report on health, schooling, seasonal migration patterns as well as permanent migration patterns. They report on the local linen industry and where people sold their linen etc. And so on. A typical parish contains about 20 to 30 pages of information and some drawings. They are well worth reading if you want to get a feel for life in the parish at that time. (It’s probably the most detailed contemporaneous summary that exists from that period). And it might mention Hunter families in it.
There should be a copy of Desertlyn parish on the bookshelves in PRONI’s main research room in Belfast. Or you may be able to obtain one from the Ulster Historical Foundation. https://www.ancestryireland.com
If you are sure the family lived in Desertlyn, I’d be inclined to focus on the Hunter families still there in the tithes. They might be connected to your family. I’d also search the Registry of Deeds records in case there was a lease, marriage settlement or other deed registered there, relating to your family. (Best to search by townland, so use the ones I found in Desertlyn).
https://familysearch.org/search/catalog/185720?availability=Family%20History%20Library