Albert Marth discovered NGC 7588 = m 559, along with NGC 7598 and 7602, on 3 Nov 1864 and noted "eF, eS." His position is accurate.

400/500mm - 17.5" (9/23/89): extremely faint and small, round. This member of AGC 2572 is located on a line with a mag 13 star 1.0' SE and mag 8.8 SAO 108523 2.1' SE. Also lies 3.1' N of mag 8.6 SAO 108518.

Notes by Steve Gottlieb