Livezey (1998) [
pdf, see Fig.12], based on morphology, recovered the typical moorhens (Tristan, Common, Dusky & Lesser M.) as the sister group of the coots (
Fulica spp.); the pair of native-hens from Australia was basal to them. If you accept this result,
Tribonyx must be recognised for the native-hens. (The only alternative being to sink
Gallinula Brisson, 1760, and placing everything in
Fulica Linnaeus, 1758.)
Rallus hodgeni Scarlett, 1955 belongs to the native-hen group according to Olson (1975) [
pdf].
There are no publicly accessible genetic data for any of the native-hens.
(However,
BOLD indicates that
G./T. ventralis has been barcoded, although the sequence is not public. This sequence pops up in some of results generated by the
ID engine, though, and seems quite distant from those of typical moorhens. Eg., 11.32% away from a Swedish moorhen sequence; coots were 8.39-9.59% away from the same sequence.)