REV. HENRY WARD BEECHER states in the New York Independent, that it is not true that any part of the avails received by Mrs. Stowe from the sales of "Uncle Tom's Cabin," or the "Key," are to be used for building a house for Professor Stowe and family at Andover. The dwellings for the Professors are furnished by the corporation. The avails are to be appropriated for the establishment of an institution for the education of the colored race in this country, as also will be the contribution Mrs. Stowe receives in Europe.