When Sharon Pratt Kelly attempted to provide an office for her spouse James Kelly at the Frank Reeves Municipal Center, the local media threw a fit. But the fact that Cora Barry has quietly set up shop a few doors down the hall from her husband has gone virtually unnoticed. The Barrys both bunk on the 11th floor of 1 Judiciary Square, confirmed a mayoral spokeswoman, who declined to disclose the exact location of the suite occupied by Mrs. Barry, when Barry took up residency, whether she has a staff, what business for the District she will be expected to perform, and if she intends to reimburse the city for any nongovernmental costs. Sources inside the mayor’s office say Cora Barry has already begun to wreak havoc on normal operations. “She is going around with a list of Kelly people trying to get them fired,” one insider says.