A lot of water can go under a bridge in 40 years . With the scant info you supplied even if I knew of a CONNER/ O'CONNER /CONNERS I couldnt know if there was a connection

Am curious to why you give a time line of 1810 - 1850 when your2 gg gfather was b 1840. Since he went to the USA 1848 assume that would be with his family ??

Where quite a number of Irish folk who came here c 1798 - 1850 +
Bye

MargM