The Model County had taken control with a six-point surge, led by the outstanding Seán Nolan (0-7), but Paudie Feehan launched a Hail Mary sideline into the square and Grogan rose highest to flick it home.
The Cahir rookie’s second goal in two games secured a first win for Tipp since February and third place in Group 2, enough to advance to a preliminary quarter-final next weekend.
The Premier overcame the absences of injury-victims Conor Sweeney and Steven O’Brien as they reversed the four-goal league defeat to the same opponents.
Tipp stole ahead with an 11th-minute goal. It was a Clonmel Commercials combo as Peter McGarry’s ball over the top met Seán O’Connor’s back-door cut to find the net.
Páraic Hughes levelled but in the 20th minute, Tipp raised their second green flag. This time it was brother to brother as Jimmy Feehan sent younger sibling Paudie through a gap. He raced untouched to the 21 before rifling a brilliant finish to the bottom corner.
Wexford ended with three superb points from distance by Nolan, two off his right and one off the left. 2-1 to 0-6 at half-time.
Tipp padded out that lead with the first three points of the second half. McGarry blazed over when in on goal, Eoghan Power chipped a point, and Evan Comerford landed a long-range free.
Wexford reasserted their stranglehold on possession to regain the lead by the 56th minute.
Páraic Hughes was growing in influence to assist four points in a row and win the free for a fifth. Seán Nolan did most of the finishing with 0-3 plus scores from Darragh Lyons, substitute Jack Higgins, and captain Liam Coleman. 0-12 to 2-4.
But Grogan’s goal gave Tipp their moment of glory.
SCORERS – Tipperary: S O’Connor, S Grogan 1-1 each; P Feehan 1-0; E Comerford (f), E Power, P McGarry 0-1 each. Wexford: S Nolan 0-7 (2f); D Lyons, L Coleman, P Hughes, E Nolan, J Higgins 0-1 each.
TIPPERARY – E Comerford; E Moloney, J Feehan, P Feehan; S Grogan, M Stokes, L Boland; J Kennedy (Clonmel Commercials), C Kennedy; K Costello, J Morris, P McGarry; C O’Shaughnessy, S O’Connor, S Quirke. Subs: E Power for O’Shaughnessy (30, inj), S O’Connell for Moloney (50, inj), C Cadell for Boland (52), M Russell for Quirke (62), D Brennan for McGarry (70+4).
WEXFORD – W Foley; E Porter, G Sheehan, L O’Connor; D Furlong, P Hughes, G Malone; L Coleman, D Lyons; N Hughes, K O’Grady, M Rossiter; E Nolan, S Nolan, C Kinsella. Subs: C Hughes for Kinsella (h-t), T Byrne for Rossiter (44), J Higgins for O’Grady (49), J Bealin for E Nolan (52), R Waters for S Nolan (68, inj).
Ref – B Cawley (Kildare).
