Just a thought on Elizabeth/Lizzie and the County Kildare link.
It was not uncommon for children to be born in one place and live later in another or several other places. If they moved from their birth area whilst very young, they could have grown up genuinely believing an area they merely lived in for a time was where they were born, and so entered this, as adults, in documents. Kildare, for example, had a large military training camp, so men/families often spent time there/in the area from elsewhere then moved on.
Also re Elizabeth/Lizzie, it was more usual in timescale for marriages to take place in the bride's parish/area. She and William, however, married in the area he was living (she giving Whiteabbey
https://www.townlands.ie/antrim/belfast-lower/carnmoney/whiteabbey/ ? as her address at time of marriage). Did she ever have any links to the Broughshane area as well?
It is also noticeable that she did not give an occupation for
Patrick correction, Joseph, her father. Was he her father, or a name to hide that her mother was a Ward and unmarried? If her father, was he even still alive or had he died whilst she was young and she never knew his occupation?
In the 1901 census, there are no other obvious Ward entries in County Antrim with a birthplace of County Kildare. There are about (including Lizzie), 15 married females, aged 34 +/- 5 yrs living in County Antrim but with birthplace of County Kildare - not too big a number to perhaps check through their marriages to see if any were Ward to their maiden name with a father Joseph.
Lots to ponder on.