I have just posted a message to Drew Seamans about the ATKIN family as I am very definitely descended from the Walter ATKIN line in Cork Ireland as is Drew.
I was sent from Ireland a few years agao a Family Tree that was to correct an entry in the Burked Landed Gentry that had some of the generations mixed.
Yes Gore ATKIN I think the brother of Samuel ATKIN, sons of Walter ATKIN who was the son of Samuel ATKIN who in about 1715 moved from Coolnacoughfinny, co. Cork to Coolamain in County Wexford. Samuel ATKIN had married Jane daughter of Hercules BEERE in 1697.
It makes interesting reading and yes would suggest that the Cork ATKIN family and Wexford ATKINs were definitely connected.
Please read what message info I have posted to Drew.
Your Jane ATKIN could be the above mentioned sister. I note that mere females are rarely mentioned in these genealogies.
I am so keen to share everything and need to make contact with Drew especially.