hawaiian flame wrasse is Cirrhilabrus jordani. a hawaiian endemic and the only fairy wrasse to be found on hawaii island itself.
Vanuatu flame wrasse is the common name for an undescribed species of fairy wrasse. it has no scientific name, and is now listed as Cirrhilabrus sp. 1
it's often called the "nahackyi" fairy wrasse. there a few variants of the nahackyi fairy wrasse. those coming from fiji, tonga and vanuatu. they all look slightly different but bear some similarities. and all are undescribed. i do not know though, if all are separate species.
hope that helps.