References I do not get

My character recently infiltrated the Museum of Mistakes and got a chance to look at the exhibits.

The exhibits are fascinating. It is hard to believe even half are genuine. A tray of thirty First City coins. A stuffed two-headed bat almost the size of a man. A scrap of black sail-cloth labelled 'Achaean, c 1200BC'. Two locks of hair, one dark and the other amber-coloured. The centrepiece of the Museum is a single half-eaten fig. It is unlabelled.

The locks of hair and the bat, those I do not recognize.