I'm sorry that I can't help with your Carroll inquiry but I was interested to know if you had any information on the Lannon family you mention in your message ?
We have a Lannon connection which I have had difficulty tracing back to Ireland. A John Lannon married Catherine O'Brien and it appears that at least one of their children may have been born in Jersey City. The timeframe is later than what you've mentioned but I thought that I'd ask.
The Lannon child was Ellen Lannon and she was born in March of 1867. Her parents were probably born in the 1840's or possibly 1830's which is at least one generation later than your Lannon family.
Good luck on your research and thanks for any possible information.