  The recent measurement of the muon $g - 2$ anomaly continues to defy a
Standard Model explanation, but can be accommodated within the framework of two
Higgs doublet models. If one further includes extra fermion content in the form
of a generation of vector like leptons, the allowed parameter range that
explains the anomaly is even further extended, and thorny issues of
perturbativity and clashes with $B$-decay constraints avoided. We will show how
the muon magnetic moment anomaly can be fit within these models, under the
assumption that the vector-like leptons do not mix with the muon. We update
previous analyses and include all theoretical and experimental constraints,
including searches for extra scalars. It is shown that the inclusion of
vector-like fermions allows the lepton-specific and muon-specific models to
perform much better in fitting the muon's $g - 2$. These fits do require the
Yukawa coupling between the Higgs and the vector-like leptons to be large,
causing potential problems with perturbativity and unitarity, and thus models
in which the vector-like leptons mix with the muon may be preferred.
