I haven't found an exact location for Drake's Cakes but if you look at the photo, you will see the Turkish Pavilion on the right.

In 1888 Newman E. Drake Developed his pound cake recipe after visiting an English bakery. That recipe became famous in a few short years.

1896 Drake Baking Company Newman Drake opened his first bakery in Brooklyn, New York. He sold his pound cake by the slice or by the pound. Total sales for the first day were $3.24.

If you have any additional information about Drake's at the Fair, please contact me.