Josie,
I assume you found the marriage ok. If you didn’t, it doesn’t show parents names. The records didn’t record that information at that period. All you normally get is the couple’s names, the date and their 2 witnesses.
Regarding the surname McFawl, it’s a variant of McFaul. That name is very common around Ballycastle and on Rathlin Island. The skipper of the Rathlin ferry and the owner of the pub on Rathlin are both McFauls. (In Scotland today it’d be McPhail). I read they came from the Western isles at some distant point in the past. Presumably from somewhere like Islay or Jura. MacLysaght’s Irish surnames says they are a branch of the Scottish Mackintosh family.
You may find Bill MacAfee’s website helpful. It contains a lot of records for the north Antrim area, including for example the 1803 agricultural census. If you check that you will find an Archibald Lynn in Ballyreagh, so that’s presumably Robert’s father.
http://billmacafee.com
Death registration didn’t start in Ireland till 1864. Few Catholic churches kept burial records so tracing ancestors who died pre 1864 can be hard going. You may find gravestones but not everyone could afford a grave and so many were buried in un-marked graves.
I have no idea if this is of interest but I’ll throw it in for information. Your ancestors were back and forth to Scotland all the time. That was very common in that area. There was a regular cargo and passenger service from Ballycastle to Glasgow. Once a week I think. On census night in 1901 the SS Glentour happened to be in Ballycastle so the 5 crew and 22 passengers were included. Your ancestors must have travelled on it and the census gives you a snapshot of typical passengers at that time. All the passengers were born in Ireland. The crew were a mix of Scots & Irish.
http://www.census.nationalarchives.ie/pages/1901/Antrim/Ballycastle/SS_…
I’d say April would be a wee bit too early for a visit. The current lockdown in Northern Ireland is in force till 1st April. At the moment all libraries, museums, churches and public buildings like PRONI are closed. No pubs are open, restaurants only do takeaway food (if they are open at all), there’s no cafes no B & Bs, and hotels are only taking business people. You are only supposed to go out for essential reasons and for exercise. It’s not being policed heavily but in short there’s nowhere to go and nothing much to see, except for open air things like the Giant’s Causeway. Hopefully that will change as the summer comes along. They are very well on with Covid vaccinations here (I am due my 2nd in a couple of weeks) and I’d say there’s cautious optimism now. They reckon more or less every adult in NI will be vaccinated by the end of June and that life can start to pick up again then.