We distinguish the handlebody-knots 51,64 and 52,613 in the table, due to Ishii et al,
of irreducible handlebody-knots up to six crossings. Furthermore, we construct two
infinite families of handlebody-knots, each containing one of the pairs 51,64 and
52,613, and show that any two handlebody-knots in each family have homeomorphic
complements but they are not equivalent.