There are only a handful of parking spaces at the motel (maybe less than 10 if I remember correctly), and as I recall the street parking nearby had specific time limits as well. I remember waking up early to move the car into the lot.
The hotel front lot is not that large so you may have to park in the rear lot of the hotel if they are heavily booked. If both lots are full, you can park on the street overnight but you have to. I've by sometime in the morning.