The name Aronowitz might indicate they were descendants of the High Priest Aharon (brother of Mozes) as some people with my surname (Aronson) were, and if they were it could well be that they were generally known as Kohen. However it doesn't have to be that way, as in my case (we are not descendants of Aharon the high priest) were my ancestors took on that name to honor their grandfather whose first name was Aron.
