HARRIET BEECHER STOWE arrived at this port, in the steamer Arctic, from Liverpool, on Sunday last. In the evening she attended religious service at her brother's church in Brooklyn, where she received the congratulations of some of her friends. Judging from her appearance, we should say that her health has been much improved by her trip to the Old World. Her course while abroad has been such as to inspire the deepest respect of those with whom she has held intercourse. Too wise as well as too noble to suffer herself to be made the tool of any party or clique at home or abroad, she has, we believe, been just to the Anti-Slavery sentiment of this country, in all its phases, and done much to enlighten and invigorate that of Great Britain and France.

  At Paris, Mrs. Stowe stayed with Mrs. Maria Weston Chapman, of Boston, Mass. At London, she was the guest of Messrs. Low, her London publishers; and at Liverpool she enjoyed the hospitality of John Cropper, Esq., of Dingle Bank. On the 2d instant, she visited Leeds as the guest of Mr. Edward Baines, of Headingley, and when in Leeds was presented with a testimonial, in the shape of a silver fruit-basket, from a number of ladies, a purse of 100 guineas from "Readers of Uncle Tom's Cabin," and an Address from the Leeds Anti-Slavery Association. J. H. Shaw, Mayor of the city, presided on the occasion; the address was presented by Mr. Wilson Armistead, President of the Anti-Slavery Society, and the testimonial was handed to Mrs. Stowe by Sir George Goodman, M.P. It being understood that Mrs. Stowe desired to remain in as much privacy as her celebrity would permit, many persons who would have been pleased to pay their respects refrained from intruding.

  The Herald of this city, true to its Satanic vocation, hurled at Mrs. Stowe, on Monday evening, its handful of mud, as follows:

  "UNCLE TOM'S CABIN"—The authoress of "Uncle Tom's Cabin," Mrs. Harriet Beecher Stowe, having finished up her tour of Europe, has returned home again. She was safely landed yesterday at the foot of Canal street, with the other passengers by the Arctic. She and Uncle Tom, and the Black Swan, appear to have had a splendid run. To be sure, Queen Victoria, for a little Buncombe for Yankee consumption, thought fit to exclude the distinguished Abolition authoress from a formal reception at court; to be sure, she was the occasion, while in France, of a descent of the police upon the house of certain of her political friends; and we admit, too, that she and Uncle Tom were both tabooed by the Holy Father at Rome. But what of that? She went out a lioness, and has come back with a European reputation. And we do hope it will be beneficial to her and all concerned towards reclaiming them from the error of their ways. Item—It is a pity that Uncle Tom, during the absence of Mrs. Stowe, has ceased to be a standard work. At the last trade sales he was at an unsaleable discount. The demand for Uncle Tom is filled. Give us something now on Woman's Rights.

  The Express also greeted her with the following characteristic specimen of its manners and morals.

  MRS. STOWE has arrived back home. She came in the Arctic from Liverpool, yesterday. She has arrived just a week too late. She ought to have been here to receive the renewed adulations of the Abolition sisterhood, who made Metropolitan Hall and Broadway Tabernacle, day and night, hideous with their orgies. However, perhaps it is as well as it is. A profound silence, on all hands, is the most fitting welcome back for one who has perverted her talents and her genius in the defamation of her country and her country's institutions, in a foreign land.

  Now let the New York Observer add its pious growl to the ribald tones of the Herald and the Express, and the trio will be complete.