Merriam-Webster's Collegiate Dictionary:
herself
hersey
herstory
herten
herter
hertford
hertfordshire
hertogenbosch, 's
herts
hertz
hertzog
herzberg
herzegovina
herzegovinian
herzl
heshvan
hesiod
hesitance
hesitancy
hesitant
hesitantly
hesitate
hesitater
hesitatingly
hesitation
hesperia
hesperian
hesperides
hesperidin
hesperidium
hesperus
hess
hesse
hessen
hessian
hessian boot
hessian fly
hessonite
hest
hestia
heston and isleworth
het
het up
hetaera
hetaira
heter-
hetero
hetero-
heteroatom
heterocercal
heterochromatic
heterochromatin
heteroclite
heterocycle
heterocyclic
heterocyst
heterocystous
heterodox
heterodoxy
heteroduplex
heterodyne
heteroecious
heteroecism
heterogamete
heterogametic
heterogamety
heterogamous
heterogamy
heterogeneity
heterogeneous
heterogeneously
heterogeneousness
heterogenous
heterogeny
heteroglossia
heterogonic
heterogony
heterograft
heterokaryon
heterokaryosis
heterokaryotic
heterologous
heterologously
heterolysis
heterolytic
heteromorphic
heteromorphism
heteronomous
heteronomy
heteronym
heterophil
heterophile
heterophony
heterophyllous
heterophylly
heteroploid
heteroploidy