He does have the power in call a special session. He DOES NOT have the power to send Marines to round them up. The Legislature is a separate but equal member to the Executive Branch, and they themselves are responsible for the roundup via respective sergeants at arms.
Now if this was Texas, where the governor can send the Texas Rangers to round them up - which has been done before - then it's a different story.
Ahhhhh. I think Texas was the source of the faint memory.