On August 27, 1984, the main city post office at 401 Franklin in Houston was dedicated in Barbara Jordan's name. The ceremony was attended by a who's who of Houston and Texas politics. Though Jordan had been out of politics for some five years at the time, as the article notes people still took the opportunity to ask if Jordan would consider a return to the political stage. (She refused.)
This was the first time that Jordan was honored by the United States Postal Service, but not the last--she received her own postage stamp in 2011.