Babe% the Pirate.—Mrs. Stephens, the authoress, is now in Washington making an urgtnt application for the pardon, at President Tyler’s hands, of the pirate* Babe, now in prison under sentence of death. Jt is said in the Express that she has already won over the good services of Mrs. Tyler in the matter, and that the desired pardon will probably be granted. There was a rumor last week in New York that Babe bad received assurauces of pardon.