One of my direct maternal ancestors, according to family lore, was one of these Hessians who fought in New Jersey for the Crown. He apparently did not return to Europe and chose to stay, at great risk (since many Hessians were murdered by the colonists in retribution).
Conversely, one of my paternal ancestors, a 5th G-Grandfather, was designated a patriot of North Carolina (which I only found out about recently).
Pretty cool family history!!!