My Warnock ancestors arrived in Newcastle, Delaware in about 1758; however, I believe you will find a whole lot of info on the County Down Warnocks, who are descended from John Warnock who came to the Ards Peninsula as part of the Ulster Plantation movement in 1610-1620, with his brothers who settled elsewhere in Northern Ireland. For more info, you can go to:
http://cobalt.bscn.com/lwarnick/history.htmOr look up the Warnock Family Website managed by Adrian Warnock in London - I believe it's a link off of jubileechurch.com, where he is a minister.
The Warnocks from Down are well documented and you should be able to find a ton of info via these sites. Good luck, cuz!