Nicholas Thomas (b 1879) is my grandfather. I believe there is probably a connection between this family and the Flinns in Inchicore (see my latest post on the Kilsharvan Flinns), but I have not found a connection so far between Nicholas in the linen business and any of the other Flinn families.
Here is a summary of what I have found about Nicholas Flinn (b 1821), based on one of your other posts I found the other day I expect you have most of it already.
Nicholas Flinn bapt 11 Oct 1821 St Peter's Drogheda - Father P Flinn, Mother C Donnelly - sponsors B Flinn & B Hall.
Nicholas married Anne Devin on 14 Jun 1843 at St Peter's Drogheda, this couple had 4 children: Catherine (1844), Patrick (1845), Mary (1846), John (1848) all baptised in Drogheda.
Nicholas later had 6 children with Mary Rooney/Sarsfield though I have been unable to find a record of their marriage: Julia Anne (Dublin 1868), Mary Josephine (Skerries 1870), Etheldreda (Skerries 1871), Frances Angela Emily (Drogheda 1872), Nicholas Patrick (Drogheda 1875), Helen Margaret (Collon 1877).
Nicholas died in 1878 and is burried in the Cord Cemetery in Drogheda, there is a headstone and the inscription is recorded in James Garry's book.
I have found a number of newspaper articles which mention Nicholas in connection with his linen business, election as a councillor, service as a juror, and the dispute over his will following his death. I have also come across a couple of references to an earlier Nicholas Flinn in the linen/textiles trade in Drogheda in 1806 and 1834.
There is also a tree on ancestry which gives quite a lot of information, which as far as I can tell has been put together by one of the descendants of Mary Sarsfield and her first husband. I assume you are a descendant of Nicholas?
Michael.