Published: 2020-07-12 03:23:08 BdST
Crawley walked out to the crease with England 113-2 and trailing the visitors by one run, and stitched an important 98-run partnership with captain Ben Stokes.
Stokes struck six boundaries in his 79-ball 46 before being dismissed for the second time in the match by West Indies skipper Jason Holder, slashing a short ball straight to Shai Hope at gully.
Jos Buttler was fortunate after a leg-before decision to Holder was overturned on review but he departed in the following over, his stumps sent cartwheeling by Joseph.
Shannon Gabriel dismissed Dom Bess and Ollie Pope in quick succession to leave England tottering before Jofra Archer and Mark Wood saw them through to stumps at 284-8.
Earlier in the day, resuming England's second innings on 15-0, Sibley and Rory Burns saw off a testing opening burst from Gabriel and Kemar Roach before settling into their stride.
Burns departed for 42 shortly before lunch, slicing a short-pitched delivery from off-spinner Roston Chase straight to John Campbell at backward point.
However, Sibley failed to capitalise as he was dismissed for 50 in the same over, edging a wayward delivery down the leg side to wicketkeeper Shane Dowrich.
Joe Denly battled hard for his 29 before chipping an innocuous delivery from Chase straight to Holder at mid-wicket.
West Indies had taken a commanding 114-run lead in the first innings after posting 318 in response to England's 204.
The Test is the first international cricket match after a 117-day absence because of the COVID-19 pandemic.
The three-match series is being played without fans in a “bio-secure environment” with daily health checks, home umpires and a ban on shining the ball with saliva.