I think you have three issues here:
1) the merger
2) the name "Charles"
3) the unknown parent Adam.
As for #1, these are pretty clearly the same person based on dates, spouse and the one child. So I would go ahead and merge.
For #2, you can put a note in the profile that says you need a source for the name "Charles"
Ditto for #3. I would leave the mysterious Adam linked because SOMEBODY got that from somewhere so it might be a clue, but you can always document your doubts as to the name of the parent and disconnect later if a source for a different named parent turns up.