This name is a synonym of Hebe andersonii (Lindl. & J. Paxton) Cockayne.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50227905) with original publication details: Paxton's Fl. Gard., Revis. 2: t. 38 1853.
This name record (from Tropicos) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Veronica andersonii in version 1 of The Plant List.