Barnsley opened the scoring through Max Watters but the Hornets hit back through Shamir Fenelon and James Hammond’s penalty.
But the Tykes restored parity before the break thanks to a Fabio Jalo wonder-strike.
Mael De Gevigney headed Barnsley in front just after the hour mark, but second half substitute Richards sensationally levelled with nine minutes to play to force an unlikely replay.
Here’s a selection of pictures from the game at Oakwell courtesy of Getty Images.

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Horsham fans celebrating after the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Kadell Daniel of Horsham pre-match warm up ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Daniel Ajakaiye of Horsham pre-match warm up ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery in
Barnsley FC vs Horsham FC in the FA Cup: Heroic Hornets claim well deserved draw in FA Cup classic - the match in pictures (Photo by Ben Roberts Photo/Getty Images) Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery in
Horsham fans arriving ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Horsham fans arriving ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery in
Horsham Manager Dominic Di Paola ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery in
Horsham Manager Dominic Di Paola ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Max Watters of Barnsley scores to make it 1-0 during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Heroic Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Charlie Hester-Cook of Horsham challenges Jamie McCart of Barnsley for the ball during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Heroic Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Max Watters of Barnsley scores to make it 1-0 during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery in
Max Watters of Barnsley celebrates his goal to make it 1-0 during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Shamir Fenelon of Horsham celebrates his goal to make it 1-1 during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Shamir Fenelon of Horsham celebrates his goal to make it 1-1 during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Shamir Fenelon of Horsham celebrates his goal to make it 1-1 during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Owen Dodgson of Barnsley heads the ball during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Max Watters of Barnsley celebrates his goal to make it 1-0 during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Callum Styles of Barnsley high foot during the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Horsham fan dressed up ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

5. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery in
Horsham fans arriving ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

6. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery
Horsham fans arriving ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

7. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery in
Horsham Manager Dominic Di Paola ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo

8. Barnsley FC v Horsham FC in the FA Cup: Valiant Hornets claim well deserved draw in FA Cup classic - fan and match gallery in
Horsham Manager Dominic Di Paola ahead of the Emirates FA Cup First Round match between Barnsley and Horsham at Oakwell Stadium. Photo: Ben Roberts Photo