The original order was: In 1894, Anton Seidl, the conductor of the New York Philharmonic, orchestrated four of the pieces for his orchestra to play.
In 1905, with the assistance of Daniela Thode (1860–1940; the daughter of Cosima Wagner by her first husband Hans von Bülow, and the grand-daughter of Franz Liszt), Grieg obtained the score of Seidl's arrangement but was dissatisfied with it in some respects.
[1][2] Seidl had worked alongside Richard Wagner for a number of years, making the first copy of the score of Der Ring des Nibelungen, and conducting the Ring Cycle many times in Germany and America.
He was undoubtedly influenced by Wagner's heavy Germanic instrumentation, which did not fit well with Grieg's lighter, more subtle and folkloristic approach.
Instead, he orchestrated the first piece, Shepherd Boy, directly from the original piano score, and included it in the suite.