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