I was born in Ireland and my last name is Crean, no 'H'.
I can send you the history of your name if you'd like to send me your email address because Crean was the orginal name. The family came down from the Sligo area to fight in the battle of Kinsale and as they went back home again they settled in Kerry, Clare, East Galway, Roscommon, Sligo and a little farther up. The name changed from Crean, to Crehan and Cregan as they settled along that strip from Kerry up to Sligo.
It's pronounced Cree-han though Crean is often pronounced "Crane" in the west of Ireland.
Hope this helps.