A more thorough explanation:

A claim of conusance is a legal term that refers to a claim of jurisdiction over a particular case or matter. It is similar to a claim of cognizance, which is a claim of the right to hear and decide a case.

For example, if two parties are involved in a dispute over a contract, each party may file a claim of conusance in order to establish which court has the authority to hear the case. The court that accepts the claim of conusance will then have jurisdiction over the case.

In historical contexts, a claim of liberty was a petition to the Crown seeking confirmation of liberties and franchises. For instance, a town might file a claim of liberty to confirm its right to self-government and exemption from certain taxes or duties.

Overall, a claim of conusance is a legal tool used to establish jurisdiction over a case or matter, while a claim of liberty is a historical petition seeking confirmation of certain rights and privileges.