Correspondence of the Baltimore Sun.

 NEw YORK, Aug. 2. 6P.M.
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 ARRIVAL OF THE FRENCH STEAMER. The French steamer Philadelphia, which sailed from Cherbourg on the 18th June, is now coming into port. She made passage of eghieen days, but, cf course, brings no news, the Hlbernia having sailed five days after her.

 The HIbernia's news was received here at 10 o'clock this morning, and has caused quite an excitement In the mar- ket for breadstutfs. Flour was firm, before it's receipt, at S6 S6 l24 for Genesee, but it has since considerably declined, and sales of 5000 barrels have taken place at S5 25 S5 50.

 The sales of corn to day have been light-the market having been very much unsettled. l hear of sale of 5 900 bushels white and yellow at 63 a 65 cents per bushel, being decline of abou, cents.

 In wheat and other descriptions of breadstuffs, Iitile or nothing has been done to indicate prices under the news, but the market will not become settled until the private letters have come to hand.