If the case is a typical Ambrotype case, and the image is a true
Ambrotype, no, a magnet will not stick, since there is no metal in
either. The Ambrotype is on glass, the case is made of wood and
leather or cloth, or of thermoplastic and the metal frame that
surrounds the image is made of non-magnetic brass. A tintype, on
the other hand, is made from sheet iron, and a magnet will stick,
though it would take a fairly powerful magnet to stick through a
layer of wood or plastic between. A magnet will stick directly to
the back of a tintype plate, however. To cover all the bases,
neither will a magnet stick to a Daguerreotype, since the
Daguerreotype plate is silver on copper, neither of which is
magnetic.