IMPORTANT FROM THE COAST OF MEXICO.I old-i jn-eth.iirkett* ii ue a tle-»lij/lith exit any uieure lances f, in atnii«r«*,rlt;' » is due.le |»t\ -\ ] i . y -v Uie ''i'll at ) .New \\o hasxemptfair loto the• York i their ■ lit (he kind-e they us ap-p, but►rbear-re busrm ex-rm for111* CX-erean-h onlycli de-0 rr.a-1 Ion untilhould aubts. tainty • bank i early n the lira m It is nt. so is m,t ow. lancesJSt. otOne t the is the ises of my of f theirBY THE EXPRESS MAIL^ New Orleans, May 5.Schooner Climax, Cooinbo, from Pensacola, whence she sailed 28th March, bound to Meta-moras, with a cargo of luinhrr, arrived here last evening, reports that she arrived off the Bar of the Bras»os St. Jago on the Sih April, was hoarded by a Mexican pilot, and informed that she must remain at anchor until further oidrrs from the shore, without attempting to land any person on hoard, promising at the same time that ho would take her over the Bar on the day following. She remained until the lU;h, when a lioal from the Mexican armed schooner Bravo catnc oft' to ascertain if anv icdiSc lead was on board; but. being answered ill the negative, the boat returned to shore. On the I*2lh, a message was sent on shore by the United States Sloop of War Natchez, demanding the release of the American sc!.owner Champion, [detained for hr. rich of blockade.] and if refused, the Mexican armed brig, fo.-im r-ly the Farmer, then at anchor olT the Bar, shoul ! p. y theIbru it; hut the Commandant of the Port return* d ausv.i r that the Champion could not be released, and ordued the officers of the ho.it on boanLivith a message to the commander o2 the sloop of war to get Under way, and leave the coast iiiunediati ly.The Natchez remained at anchor until the 16th. when she despatched a note to the Mexican brig of war, ordering her colors to be hauled down, which was jtositivelv refused to be complied with, unless fired into. The United States Sloop of War immediately fired a shut over the brig, when she struck her colors, and was taken josscs-»ion of by the Natchez. The Mexican fort and the armed schooner Bravo immediately opened a heavy cannonading upon the Climax and sloop of war, which was c ontinued son.c lime, without, however doing any injury, except by one 181b. sh. t,which struck the Climax, passed through her deck into her larboard how, starting a butt, which caused her to make water three leet per hour. She then succeeded in making sail, arid, drawing a piece of canvas over the leak, l.auhd olT, and placed hers* If under the protection of the Nate In z.The United States Sloop of War remained oft* the Bar until the 18th ult., when her Commander made another demand lor the release of the schooner f’hampion ; hut no answer being returned, the Mexican brig was ordered to Pensacola, with a prize crew on board, got under way in company with the Climax, and proceeded to the westward, leaving the American schooners Leonidas, [detained ] Champion anJ Julius Usrsar, [captured.] and three others, whoaC fates were unknown.I)KATII«.In Norwich, Connecticut, on the 30ih ult. Doctor PHILEMON TRACY, father of the Hon. Albert H. Tha CY, and the Hon. Pinsms L. Ti'u.V, (both formerly tor