A person who answered the phone at the club declined to comment.
For the time being, Daniels has said she will plead not guilty.
"This was a setup & politically motivated", Avenatti tweeted.
"According to CNN, Daniels posted the $6,054 bail for 'three misdemeanor counts of illegally touching a patron".
'This was a setup and politically motivated. He added: "It reeks of desperation". Avenatti promised to "vehemently contest all charges".
"This was a complete set up", Michael Avenatti, Daniels' attorney, tweeted.
The law, The Community Defense Act, prohibits adult entertainment - defined as nude or topless dancing - between midnight and 6am.
The law refers to someone "who regularly appears nude or seminude" at a club.
Avenatti later released a statement from his client. She says she is unable to go forward with her previously scheduled performance at Sirens after the events of Wednesday night.
Avenatti said it was "ridiculous" that Columbus Police forced Daniels on a perp walk for the cameras at Jackson Pike Correctional Facility and police could instead focus on Columbus's skyrocketing murder rate. Reached by The Washington Post early Thursday, a representative for Sirens strip club refused to comment.
Through White House officials, Mr Trump has denied the affair, although Mr Cohen has admitted paying Daniels as part of the agreement.
Her initial lawsuit against Trump was for not signing their initial "hush agreement", and she insisted she only wanted to speak out about her affair, and so was attempting to find a way that would legally protect her in doing so.
According to a copy of Clifford's charging documents, however - obtained by WBNS-TV - Clifford stands accused of "touching a "specified anatomical area" of female and male officers posing as patrons, and also touched them with her own 'specified anatomical area'".