Hello Again Sara, I was having some doubts on our death certificate as it was far from the burial spot for the time. However we still have issues but some information. I am using the subscription site Roots Ireland who have some extra church records it appears to me, the site admin give volunteers access but there are restrictions and I am not sure what is happening tonight but I am getting some searching tonight but then asked to log in again, am assuming it is a problem on the site and maintenance is not back until Monday, the country was more or less stopped since the Friday before Christmas, Irish thing at Christmas.
Anyway I found the child siblings you mentioned born in Togher parishs in the 1840s, mother listed as Mary Carr (I have Carr ancestors, not here but in the west of Ireland, and the Carr / Kerr thing recurs most search engines return both but not this time)
However I also found another George Rogers producing offspring in the same parish, this time mother is an Ann Bannon, so a wee bit of confusion possible. Bear with me.
Looked for the marriage and found that George Rogers married Mary Kerr in 1838 and her address is given as Stonetown, this may explain the death in Rogerstown, there is a Stonetown Upper and Lower and they appear to be close to Rogerstown so it is possible she died visiting a relative or went home to die (my conjecture) and back to Drumcar for burial. From the 1838 marriage the 1st child was born in 1842 and then 2 more, not a lot of children for the time but that was there own business but I could see no more but will hopefully check into the 1850s.
THe reason I go on is when I looked I found 2 Peter Rogers born in 1814 and 1815, both in Togher one in Finvoy and one in Salterstown. you can see the various locations here https://www.townlands.ie/louth/
I am gettng long winded Sara, I looked at your 3 siblings and oddly two are baptised with a Finvoy address and one Bernard with Rogerstown, but all in Togher parish, going that your address is Finvoy then your Peter Rogers was baptisd on 5th March in 1815 father was Patt Rogers and mother was Ally Read (or Reid possibly) witness were Denis Quinn and Jane Hoey, like the witnesses in all your entries the names are common in mid Louth, the wife of the Salterstown Rogers was a Hardman, locla name but unusual and i assume there was some relationship.
I have copied the various dates and names but you may prefer to have a look yourself not that I have given you the years etc. You should be able read the entries here https://registers.nli.ie/parishes/0236
I have answered a few queries for that area were people left around the 1850 mark what ever was going on there then. The surnames were Markey (sponsor on one of your baptisms) and Carroll.
I have a number of transcriptions for graves in the area bot only see one Rogers entry and that is for Mosstown which is not that close, I attached it anyway and cannot see a suitable civil records for the Pat Rogers mentioned. Are you aware of this free site https://www.irishgenealogy.ie/en/
It may be mid week before I get back to this if you have any follow up.
Regards
Pat