Vanquish is an eight letter word. Vermouth is another word beginning with v and ending with h.
Hue
Hanger is a six letter word.
Hawaii
happen
hashish, hashish,
sachet
Heck.
happenhavinghaltedhandlehailinghearts
The word is search.
some 5 letter words that starts with "h" are heart and horse
Thought is one.