What you don't want is to keep them around for your names. At least, I don't want you to.
What is the point of putting an apostrophe in a name? If you have a two-part name, what's wrong with the grand old traditional hyphenated name?
All right, I will concede this much: if the names are contractions of longer names, you can use them, but you have to let me know that this is the case. Probably letting me know what the long name is, too.