MADAM,--After her six years' residence at the Mall, I have the honour and happiness of presenting Miss Amelia Sedley to her parents, as a young lady not unworthy to occupy a fitting position in their polished and refined circle. Those virtues which characterize the young English gentlewoman, those accomplishments which become her birth and station, will not be found wanting in the amiable Miss Sedley, whose INDUSTRY and OBEDIENCE have endeared her to her instructors, and whose delightful sweetness of temper has charmed her AGED and her YOUTHFUL companions.

In music, in dancing, in orthography, in every variety of embroidery and needlework, she will be found to have realized her friends' fondest wishes. In geography there is still much to be desired; and a careful and undeviating use of the backboard, for four hours daily during the next three years, is recommended as necessary to the acquirement of that dignified DEPORTMENT AND CARRIAGE, so requisite for every young lady of FASHION.

In the principles of religion and morality, Miss Sedley will be found worthy of an establishment which has been honoured by the presence of THE GREAT LEXICOGRAPHER, and the patronage of the admirable Mrs. Chapone. In leaving the Mall, Miss Amelia carries with her the hearts of her companions, and the affectionate regards of her mistress, who has the honour to subscribe herself,

Madam, Your most obliged humble servant, BARBARA PINKERTON

P.S.--Miss Sharp accompanies Miss Sedley. It is particularly requested that Miss Sharp's stay in Russell Square may not exceed ten days. The family of distinction with whom she is engaged, desire to avail themselves of her services as soon as possible.

This letter completed, Miss Pinkerton proceeded to write her own name, and Miss Sedley's, in the fly-leaf of a Johnson's Dictionary--the interesting work which she invariably presented to her scholars, on their departure from the Mall. On the cover was inserted a copy of "Lines addressed to a young lady on quitting Miss Pinkerton's school, at the Mall; by the late revered Doctor Samuel Johnson." In fact, the Lexicographer's name was always on the lips of this majestic woman, and a visit he had paid to her was the cause of her reputation and her fortune.

Being commanded by her elder sister to get "the Dictionary" from the cupboard, Miss Jemima had extracted two copies of the book from the receptacle in question. When Miss Pinkerton had finished the inscription in the first, Jemima, with rather a dubious and timid air, handed her the second.

"For whom is this, Miss Jemima?" said Miss Pinkerton, with awful coldness.

"For Becky Sharp," answered Jemima, trembling very much, and blushing over her withered face and neck, as she turned her back on her sister. "For Becky Sharp: she's going too."

"MISS JEMIMA!" exclaimed Miss Pinkerton, in the largest capitals. "Are you in your senses? Replace the Dixonary in the closet, and never venture to take such a liberty in future."

"Well, sister, it's only two-and-ninepence, and poor Becky will be miserable if she don't get one."

"Send Miss Sedley instantly to me," said Miss Pinkerton. And so venturing not to say another word, poor Jemima trotted off, exceedingly flurried and nervous.