  We construct a non-free but aleph_1-separable, torsion-free abelian group G
with a pure free subgroup B such that all subgroups of G disjoint from B are
free and such that G/B is divisible. This answers a question of Irwin and shows
that a theorem of Blass and Irwin cannot be strengthened so as to give an exact
analog for torsion-free groups of a result proved for p-groups by Benabdallah
and Irwin.
