Hotel Wheeler, June 22d. - We arrived at this hotel last evening from Paris, and find ourselves on the borders of the Petit Quay Notre Dame, with steamers and boats right under our windows, and all sorts of dock-business going on briskly. There are barrels, bales, and crates of goods; there are old iron cannon for posts; in short, all that belongs to the Wapping of a great seaport. . . . . The American partialities of the guests [of this hotel] are consulted by the decorations of the parlor, in which hang two lithographs and colored views of New York, from Brooklyn and from Weehawken.