San Francisco, Cal., May 12.- The fact is no longer coacealed even in the offici al navy circles, that the swift cruiser Charleston is now oiï ia hot chase after the Chiliaa transport Itata, which left San Deigo last Weaaesday while uader arrest and carried olí a deputy of the United States marshal. Tlie Chilian cruiser Esmeralda is believed to be lying ott' Cape San Lucas, which is the southernniost point of land in Lower California, awaiting the supplies carried by the Itata. The sea run to that point is about TOO miles. Her Orders Are Explicit. The Itata being heavily loaded, alt-hough reputed a fast craft, it is estiniated that she cannot e.xceed six or eight knots au hour, and the Charlesto n, which left San Pedro yesterday morning, is thought certain to overtake her or reach San Lucas inadvanceof the transport. If notfouud there the Charleston will proceed direct to Acapulco, which will be the first port at which any further intelligence can be received. Even though the cruiser Esmeralda is met as the convoy of the Itata it is understood that the orders of the Charleston are explicit on the point of capture, and if the Itata is sighted it is believed certain that there will be a fight or capture, or both. Citt OF Mexico, May 18.- The Itata is sailing under difiiculties and making ! slow headway. The United States ■ ship in pursuit of her is gaiuingon her and it is expected that the two ships will reach Acapulco withiu a few hours of one another.