Tindall said: “We needed to respond and we certainly did that. Everyone was excellent at a difficult place in difficult conditions.”
The high-flying visitors, playing with a back three, came agonisingly close to scoring in just the second minute. A Barnsley defensive mix-up allowed Surridge to evade goalkeeper Jack Walton but he shot wide.
Adam Smith soon impressively created Bournemouth’s opener though, as he cut inside then teed up Billing, who found the far corner of goal from 22 yards.
With the rain pouring down, crisp passing became a challenge, but the game’s intensity remained high, with Barnsley posing some threat, especially from Conor Chaplin’s deliveries.
The Yorkshire club played themselves into trouble just before half-time though, as Cauley Woodrow cheaply lost possession and it led to the second goal. Lewis Cook won the ball and it ran free for Solanke, who burst forward then shot in from six yards.
Bournemouth’s quality showed again early in the second half as Rico struck in his free-kick, whipping the ball in from a testing angle, when Barnsley might have expected a cross instead. “I wasn’t expecting him to shoot,” joked Tindall.
Surridge made up for his earlier miss by racing clear and his shot squirmed beyond Walton.