The eminently public spirited citizen of St. Louis, Mr. Henry Shaw, who proposes to give his celebrated Gardens to the city on his decease, for the enjoyment and instruction of the people for ever, has not waited for the event of his departure - which all hope may be long postponed - to inaugurate his generous gift. He has already founded a school of Botany, endowing it with real estate which even now produces an income of over $5,000 a year. Prof. Wm. Trelease, an eminent botanist among the younger class of men, has been placed in charge, and inaugurated on the 6th of November. It has been made a department of Washington University. The whole movement so far seems to indicate a bright future, and must be highly gratifying to Mr. Shaw, the generous promoter of the measure. The Engelmann Herbarium, and other famous material will, it is hoped, go to the charge of this new department of the University.