No, that's sensible. It's definitely a good policy, especially if you narrow your field down to one person who's a good fit, except for a probable mistake in record keeping.
However, I spent some time poking around FamilySearch yesterday, and eventually decided that without more to go on, it'd be hard to track down the right Cornelius Lane. Just to start with I looked for people of that name, born in Ireland between 1800-1840, living in the United States, and found at least a dozen distinct individuals, several of whom lived in Michigan. It's a pretty tough one.