We all know Nielsen’s ‘Uncle Dickdouble neck, the guitar based on a sketch of his likeness by a Japanese fan, but legends are abound of a hefty five-neck whipped out on occasional Cheap Trick shows.

Among the items stolen were a custom-built, purple sparkle baritone Telecaster guitar with a hand-painted headstock made for band member Nancy Wilson, and a vintage 1966 Gibson EM-50 mandolin that ...