Fan Club Legalities

A woman recently told me that, for a body to style itself a “fan club” and charge for membership, (U.S.) Federal law requires that they offer the prospective some material object, even if it is as lightweight (in all senses of the word) as an 8x10 glossy of the adored person signed by a secretary.

This seems far-fetched to me; OTOH, I’ll freely concede that I haven’t memorized the U.S. Code. Is there substance to her statement, or is this another baseless legal UL, like “it’s illegal to drive barefoot”?

Here’s a search page for the entire United States Code. A Boolean search for “fan AND club” didn’t turn up any hits.