  In math.AG/0108089, math.AG/0212090 and math.AG/0308247 we gave numerical
conditions which ensure that an equisingular family is irreducible respectively
T-smooth. Combining results by Greuel, Lossen and Shustin and an idea from
math.AG/9802009 we give in the present paper series of examples of families of
irreducible curves on surfaces in projective three-space with only ordinary
multiple points which are reducible and where at least one component does not
have the expected dimension. The examples show that for families of curves with
ordinary multiple points the conditions for T-smoothness in math.AG/0308247
have the right asymptotics.
