Weston County Clerk’s Office – Titles 1 West Main St.Newcastle Wyoming 82701 WY Weston 1 West Main St.Directions (307) 746-4744 Monday 08:00 am - 04:30 pm Tuesday 08:00 am - 04:30 pm Wednesday 08:00 am - 04:30 pm Thursday 08:00 am - 04:30 pm Friday 08:00 am - 04:30 pm Saturday Closed Sunday Closed