Mr. Williams returned this morning to Paris, and will be glad to see Dr. Franklin, whenever it is convenient for the Doctor, at the Hotel Frasiliere[?] Rue Tournon. It is near the Hotel where he lodged when the Doctor saw him a fortnight ago. He does not propose to go abroad, and therefore the Doctor will find him at any hour. He understands that Mr. Alexander is not yet returned from Dijon, which he regrets.