The Huskies (19-6, 11-3 Pac-12) scored the final six points of the game. After Williams' 3, Davis made a pair of free throws with 14 seconds to play and Kristi Kingma added another free throw with 2 seconds left.
Kingma, coming off a 35-point performance Friday at Oregon, finished with 12 points on Monday. Williams had eight points and 12 rebounds as Washington overcame 23 percent shooting.
Jamie Weisner led the Beavers (9-17, 3-11) with 22 points. Her 3-pointer put Oregon State in front 44-43 with just under 2 minutes to play.
The Beavers led 22-18 at the half and didn't trail until Davis' 3 made it 35-34 Huskies with 8:52 to go.
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