Going back to that 1884 marriage of William Brownlee the bricklayer to Jane Smyth, daughter of William Smyth the carpenter, it looks like her father William was married to a
Jane. Here's the process to arrive at that...
The year after Jane Smyth married William Brownlee the bricklayer, their names appeared as witnesses to a marriage in Saint Enoch's Presbyterian Church, Belfast, between a John Smyth and Lizzie Kelly, John was described as a joiner, the son of William Smyth a carpenter:
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1885/10880/5973849.pdfBTW, here were John and Elizabeth in 1901 and 1911:
https://www.census.nationalarchives.ie/pages/1901/Antrim/Shankhill/Keswick_Street/948995/https://www.census.nationalarchives.ie/pages/1911/Antrim/Court_Ward/Agnes_Street/147448/ As you can see from the census returns, one of the children that John and Elizabeth had was a daughter Elizabeth, she was born in April 1895 and it's the address that matters - 5 Killarney Street, Belfast:
https://civilrecords.irishgenealogy.ie/churchrecords/images/birth_returns/births_1895/02219/1837406.pdfIn January the previous year to that birth, a widower William Smyth died at 5 Killarney Street, described as a 62 year old carpenter, the informant providing that information was his son John Smyth, of the same address:
https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_returns/deaths_1894/05979/4700226.pdfWilliam Smyth was buried in plot L2 250 of Belfast City Cemetery, in the same plot were 1 Brownlee, 2 Smyth children and a 55 year old Jane Smyth who died the year before William, the burial record gives that same Killarney Street address for her:
http://www.rootschat.com/links/01t0u/The relevant 1893 death registration for that Jane Smyth confirms that she died at 5 Killarney Street and that she was the 56 year old wife of William Smyth a carpenter, again the informant providing that information was son John Smyth living at that same address:
https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_returns/deaths_1893/06004/4708676.pdfSo it looks like the parents of Jane Smyth who married William Brownlee the bricklayer (and of course of John Smyth who married Lizzie Kelly) were William and Jane Smyth.
A speculative possibility I would hazard for her maiden name is Jamison. A carpenter called William Smyth of Belfast married a seamstress called Jane Jamison in October 1853 in Berry Street Presbyterian Church, Belfast, the two fathers were given as John Smyth a farmer and John (Jno) Jamison a tailor:
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1853/09445/5421793.pdfA transcript of a baptismal record for Christchurch Church of Ireland church in Belfast shows that an Eliza Jane Smith was baptised on 22 January 1862 (born 15 April 1861) for parents William Smith, a carpenter, and Jane Jamieson of 15 Lagan Street, I wonder if this was Jane who married William Brownlee the bricklayer in 1884?
