What do you call a title that conceals a pun?

Question

I was reading the clive barker book "Mister B Gone" and it is obviously a pun or some such name for "Mister be gone" as in "sir, go away". I got to thinking about this and this is actually fairly common way of doing things in titles or names. "I P. Freely" is a old simpsons joke.

Is there a name for this kind of pun? Where you hide a sentence inside a title?

Answer 1

When a real person has a name that is especially well suited or descriptive, it is called an aptronym (or aptonym)

A person’s name that is regarded as amusingly appropriate to their occupation: he began collecting aptronyms when he saw an ad for a flower shop operated by Flora Gardner

Also euonym

An appropriate or well-chosen name; (formerly in technical use) a name that conforms to the requirements of a particular system of nomenclature. The term was popularized by its appearance as the winning word in the 1997 U.S. National Spelling Bee competition.

Oxford Dictionaries Online

A long list of such real names is found in this Wikipedia article.

The fanciful versions seem to be a logical extension.

Answer 2

Consider punny

constituting or involving a pun

Or in informal contexts, puntastic