Match goddess to the hearth (5)

I believe the answer is:

vesta

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'match' is the definition.
(type of historical wooden match)

I cannot understand how the rest of the clue works.

(Other definitions for vesta that I've seen before include "Roman goddess of the hearth" , "Asteroid; goddess; match" , "heavenly body" , "Roman goddess; match" , "Stave (anag.)" .)

I've seen this clue in The Times.

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