HAY! (Ital. hai!), you have it (a fencing term).
HAY IN HIS HORN, ill-tempered person.
HAZARD, game at dice; that which is staked.
HEAD, "first—," young deer with antlers first sprouting; fig. a newly-ennobled man.
HEADBOROUGH, constable.
HEARKEN AFTER, inquire; "hearken out," find, search out.
HEARTEN, encourage.
HEAVEN AND HELL ("Alchemist"), names of taverns.
HECTIC, fever.
HEDGE IN, include.