On Thursday, Barnsley Council said it had taken the “difficult” decision to stop the project as part of a review of its capital programme.
“The reason for this decision is that we need to ensure every pound of public money delivers the greatest possible benefit for all Barnsley residents,” said Brown.
“We are committed to investing in all of our communities, and this review will help make sure future investment is focused where it can have the greatest impact and deliver best value for our residents.”
Tidball said she was “disappointed by the shocking decision” and said she was frustrated she had not been consulted or engaged with.
“This decision cannot be justified. Other projects in other principal town areas, as part of the Principal Towns fund programme, have reached much later stages of investment,” she wrote online.
“In Penistone, we’ve had funding on initial works at the town hall, but work on the Paramount was the next stage we were all looking forward to – the jewel in the crown of our great town.
“This flies in the face of what our government is doing nationally to make our high streets thrive and bring our communities together.”
The council previously said the work would be funded through the overarching £35m Funding for Principal Towns projects, external.
Some of the money was used in 2024 to repair the roof of the old town hall.
The BBC has asked the authority to clarify how much of the £35m funding had been allocated to Penistone Paramount.
