  We review the recent discussion in the literature of one family extended
technicolour models with techni-fermion mass spectra compatible with the
experimental data for the precision parameters S,T,U,V, W and X and ETC
interactions compatible with the LEP measurements of the $Z\to b{\bar b}$
vertex. To investigate whether these scenarios are consistent with the third
family fermion masses we develop a generalized ETC model in which ETC
interactions are represented by four Fermi interactions. We discuss in detail
the reliability of the gap equation approximation to the non-perturbative
dynamics. Two generic scenarios of couplings fit the precision data and third
family masses; one is an unpredicitive existence proof, the other, which
generates the large top mass by direct top condensation, has a minimal number
of interactions that break the global symmetry of the light fermions in the
observed manner. This latter scenario makes surprisingly good predictions of
the charm, strange and up quark masses.
