Looking for Lime family

[ColinPatrick]

Hello!

American here, have run into a dead end tracing my father's line back to Ireland. Only have a single marriage record from 1825 in Kentucky, where my earliest Lime ancestor appears, with the birthdate of on or about 1794 in Ireland.

Have had no luck finding passenger registries with his name, as I believe he was a baby or a young boy when he came over accompanied by his father, who is unknown, but believed to have been born sometime around 1770.

Have found a few records of people with the Lime surname in Dublin mostly, was hoping some living Lime family are still in the area who I could connect with that may know more. Any Lime family out there? Any Irish friends know of any Lime folks, or could help me find more physical records of them somehow?

Thanks!
Colin