Hello Frances,
Here is a transcript of the Manx (or presumed Manx) passengers on 1826-27 ships from Liverpool to New York. These are from LDS films 2253 and 2255 (I also checked the manifests for ships from Belfast, but did not find any Manx names.)
I have looked for these people in the census extractions of Manx-born of Cuyahoga County, Ohio, and did not find anyone except for possibly William Cottier, who is the right age to be the William in the 1850 and 1860 Warrensville census.
My original file, which is in WordPerfect, has some footnotes as to the Manx origin of some of these people. If anyone would like a copy of this file, let me know if you would like me to send it to you (include an e-mail address, please).