Substitute Weimann fired home from close range in the first minute of stoppage time after Rotherham keeper Viktor Johansson palmed out a Kal Naismith shot.
Tommy Conway had put City in front after 15 minutes with a bullet header from Cameron Pring’s cross.
But Rotherham looked to have earned a point when Jordan Hugill sent Max O’Leary the wrong way with a 67th-minute penalty after a foul on him by Zak Vyner.
Robins boss Pearson said: “It has been a difficult season at times, but I think our fans have seen definite signs of progress.
“Now we have the points to back that up. With so many young players having gained experience in the Championship, I believe the right additions in the summer can make us contenders for the top six.
Denne historien er fra April 23, 2023-utgaven av The Football League Paper.
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Denne historien er fra April 23, 2023-utgaven av The Football League Paper.
Start din 7-dagers gratis prøveperiode på Magzter GOLD for å få tilgang til tusenvis av utvalgte premiumhistorier og 9000+ magasiner og aviser.
Allerede abonnent? Logg på
Dutch star gives the Clarets an extra edge
BURNLEY couldn't hit a barn door during the autumn, and were widely expected to splash the cash on a striker this month.
POMPEY'S RECOVERY IS RITCHIE DESERVED!
MATT Ritchie's first two Fratton Park goals as a Portsmouth player is completing \"unfinished business\" according to John Mousinho, after Pompey beat Middlesbrough.
LAMPARD APPLAUDS BATTLING SKY BLUES
FRANK LAMPARD is satisfied with the progress his Coventry City players are making, praising their character and determination in overcoming a classy Bristol City side.
ROBINSON HITS BRACE AS THE BLUEBIRDS NET DERBY SPOILS
Emotional week for Riza ends on a high
McGOLDRICK DOUBLE PUTS COUNTY FIFTH
STUART praised Sprais County Maynard the Notts set-pieces as they scored twice from corners in a win over struggling Accrington Stanley.
If Enzo finds form, the fee's a bargain
ENZO Le Fee's loan move from Roma to Sunderland is a gamble.
HUNGRY ACE JOE ON GOAL MISSION
JOE Taylor is ready to unload six months of pent-up frustration after completing a £3m switch from Luton to Huddersfield.
BANNAN, MULLIN & COOK NET AWARDS
BARRY Bannan, Paul Mullin and Andy Cook are celebrating winning the Sky Bet EFL Goal of the Month awards for December.
JAY EYES MORE CUP HEADLINES
Defender ready for Eagles...
DI'SHON'S FOCUS IS ON THE DERBY
Players to ignore off-pitch tensions