Morley is not unheard of, but it is not really a 'typical' name, such as Smith, Jones, or Davies.
I know a couple of Morleys*, and there was the dear old British actor Robert Morley:

(My grandmother met him at Buckingham Palace once. Aren't I a name-dropper?

)
*In fact we have a "waiting for all the players to show up" dice game called
Morley, named after a gamer friend who invented it.