CHICAGO, May 15 (UPI) -- A baseball cap purportedly signed by a former Illinois police officer suspected in the disappearance of his fourth wife is being auctioned on eBay for $1,000.

Bidding for the "Authentic Autographed Drew Peterson Today Show Cap" opened at $1,000 Wednesday, but the item has yet to attract a bid, the Chicago-Sun Times reported Thursday.

Peterson is being investigated in the October disappearance of his fourth wife and the death of his third, whose body was found in the bathtub of her Bolingbrook, Ill., home in 2004.

Peterson initially said he had nothing to do with the signed eBay cap, but later remembered inking a cap for a friend named Paula who babysat his kids when he traveled to New York to appear on the "Today" show.

It is reported Paula's mother may be the person auctioning off the hat.