Ash Turner was trapped lbw by Webster two balls later, and Josh Inglis was bowled by Stanlake one ball after that.
Cooper Connolly, Hilton Cartwright, Ashton Agar, Jhye Richardson and Joel Paris all posted ducks as WA’s innings was brought to a crashing end.
Warriors opener D’Arcy Short was the top scorer with 22 in a sorry looking scoreboard for the three-time defending champions.
WA’s bid for a fourth consecutive title is now hanging by a thread.
They entered Friday’s match precariously placed with a 1-2 record, and looked certain to be 1-3 unless Tasmania were to suffer an equally remarkable collapse.
Loading
The collapse likely means WA now need to beat Victoria, South Australia and Queensland in their remaining three games – and rely on other results to fall their way – in order to secure a top-two spot and a berth in the March 1 final.
WA fell short of their previous lowest score, the 59 they posted against Victoria at the MCG in 1969.
Webster was the hero for Tasmania, claiming the early scalp of Short before kick-starting the collapse in a career-best display.