Usually, confidentiality agreemenets apply to all parties and their counsel. It depends why the information is being sought, but your attorney is best able to determine if the confidentially agreement applies in the given circumstances.
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As stated in the other comment, yes typically the attorneys are bound to confidentiality. As for the subpoena, your attorney would have to file a motion to quash the subpoena and seek an order of protection regarding the disclosure of the settlement document.
The above statement does not create an attorney-client relationship and the submitting party should not consider the responding their attorney.
Whether a confidentiality agreement extends to the parties' attorneys is really dependent on the terms of the agreement. However, I can't imagine a confidentiality agreement that does not extend to the attorneys as well as the parties themselves. That would essentially make the confidentiality agreement meaningless.
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Interesting story one this question. Last year, I was sued in Ohio along with two of my clients by a municipal judge who had paid a good deal of money to settle part of a sexual harassment claim. I negotiated the deal, but did not sign the agreement. The terms provided that I would receive my attorney fees out of the proceeds. In suing me personally for violation of the confidentiality provision, the judge argued that I was bound as a third party beneficiary of the contract. We did a ton of research, concluding that I was not liable, but the matter never went to final judgment. Again, the terms tend to control, but my position has always been that unless the lawyer is specifically included in the terms for confidentiality -- and unless he/she is deemed a third party beneficiary -- there is no binding the lawyer. The case was Hale -v- Moore, Court of Common Pleas, Franklin County, Ohio.