The hosts started out on the front foot with striker Daryl Dike the first to test the Owls back line, heading wide early on from Alex Mowatt's cross.

Michael Sollbauer followed moments later with an effort on the edge of the six-yard box but the Austrian defender failed to keep his shot on target.

The visitors squandered a huge chance on 20 minutes. Rhodes beat Brad Collins to Julian Borner's pass over the top but, rounding the keeper, the Scot couldn't capitalise as he dragged his shot wide.

Piling on the pressure, Dominik Frieser tried his hand at goal as the Tykes searched for an opener, the midfielder launching his volley wide with the break fast approaching.

Rhodes broke the deadlock in the 38th minute. Owls captain Barry Bannan put the ball on a plate for his attacking colleague to deliver a bullet header beyond a helpless Collins as the relegation battlers took the lead at half time.

Tykes boss Valerian Ismael made a triple change following the interval. Aapo Halme, Toby Sibbick and Morris replaced Romal Palmer, Sollbauer and Frieser.

Rhodes bagged a second goal as he doubled his side's lead in the 53rd minute. Josh Windass was unselfish with the assist and squared the ball across goal for the forward to apply a simple tap in.

Windass had the chance to put the game to bed with the clock running down but the attacking midfielder struck wide of the near post from a tight angle on the left-hand side.

Barnsley's Morris pulled one back in the 78th minute after latching onto Halme's headed pass and beating Joe Wildsmith with a smart volley on the turn.

Mowatt had a chance to salvage a late point but blasted his free-kick over Wildsmith's cross bar.