Hi a lot of research has been done in Ireland and Canada on The Peter Robinson settlers.
Shinnick various spellings, and Sexton would have been scarce names. it should be possible to get baptisms for the children of brothers Patrick and Thomas
which would give you an address, Baptisms for Liscarroll started in 1812 and for Newmarket in 1821. Baptisms and Marriages can be viewed free at www.registersnli.ie.
Best of luck with your research,. Let me know how you get on.