Friendship's Offering was an annual anthology that appeared for at least a few decades in the mid 19th century, starting in the early 1820's. Regular contributors and editors over the years included Mary Shelley, M. A. Browne, Mary Roberts, Alicia Jane Sparrow, Grace Aguilar and others who wrote either under their own name or anonymously. Often, instead of by name authors were identified as "Author of 'Reveries of the Sanctum'" or some other piece.
At some point, John Sartain started contributing illustrations, often engravings of famous works by classical artists (sculptors, painters, etc.). Sartain was a pioneer of American engraving, influencing almost all who came after him. He introduced the use of mezzotints in America, and I am fairly sure the engravings in this book are in that style. If not, they are closely related.
Some editions are available, complete with low quality Sartain plates, at Google Books. The 1852 edition is HERE. The 1855 edition HERE.
Title: Friendship's Offering, A Christmas, New Year, and Birthday Present for MDCCCXLVIII
Author: Miss M. A. Browne, Mrs. Abdy, Calder Campbell, Esq., Anonymous, Miss Louisa H. Sheridan, N. Michell, Esq., Miss M. G. Wells, Lord Morpeth, E. Scaife, THe Hon. Charles Phipps, Fay Robinson, Mrs. Sutton.
Artist: ...