The National Intelligencer And Washington Advertiser

NEW YORK, August 4.

Extract of a letter from a commercial house of the first respectability in New-Orleans, to another in this city, dated July 20, 1802, received via Philadelphia.

"The alarm that exists in the United States respecting this province being ceded to France, we have great hopes is groundless. Nothing but conjecture or report has prevailed on this point hitherto, and we doubt not the timely notice that will be given by the Spanish Court to its officers here, will afford us sufficient time to prepare, if necessary, for any emergency.

"42,000 dollars in specie, are just arrived from Vera Cruz. This, we hope, will be a great advantage to commerce."

Extract of a letter from the same to the same, dated July 22.

"We have but one moment before the sailing of the Eliza to inform you that a courier arrived here this morning with dispatches from Madrid, dated in March and April, via the Havanna. We have been at the Government House to obtain information that may be depended upon ; and are happy to inform you that not one word is said in these dispatches respecting this Province being ceded to France. At the Havanna, accounts are received that may be depended upon, and to which the officers of government give full credit, which says that France relinquishes her claim to this country for five ships of the line, five millions of dollars and repairs for twenty ships. We congratulate you on this news, and sincerely hope it will be productive of mutual advantage."