Relegation battlers Bournemouth launched an audacious raid down the right straight from the kickoff and the ball was played across for Billingar to side-foot into the net.
Opta, the Premier League's match data partner, timed the goal at 9.11 seconds which makes it the second-quickest in the Premier League era.
The quickest goal ever scored in the Premier League was Shane Long's effort 7.69 seconds after kickoff for Southampton against Watford in 2019.