George Johnstone Stoney discovered NGC 7337, along with NGC 7336 and 7340, on 10 Sep 1849 and noted "4 knots following [NGC 7331]." A diagram was made 2 nights later and NGC 7337 was labeled "E". Despite an accurate position, NGC 7337 was reported in the 1908 Catalogue of new nebulae and clusters found on plates taken with the Crossley reflector, generally of bright nearby galaxies [NGC 7331 in this case]. The plates were taken by Keeler in 1898-00 and this galaxy was recorded as #716 out of 744.
300/350mm - 13.1" (9/29/84): very faint, very small, round. A mag 14 star is superimposed at the SE side. This is the third faintest of the four companions to NGC 7331 and is located 5' SE of the center of NGC 7331. NGC 7340 is 4' NE.
400/500mm - 17.5" (8/27/87): fairly faint, small, slightly elongated. A mag 14-14.5 star attached at the SE end just 9" from the center confuses the observation as the galaxy appears like a close double. Located 5.2' SE of the center of NGC 7331 in a group of four faint companions.
17.5" (9/14/85): faint, very small, round, star attached at SE end.
600/800mm - 24" (7/21/12): fairly faint, fairly small, round, though a mag 14 star on the east side of the core of the galaxy distracts from a clean view. Sharply concentrated with a very small bright core ~10" diameter and a much fainter halo ~25" diameter.
900/1200mm - 48" (10/24/14 and 10/27/19): moderately bright, fairly small, roundish, ~0.5'x0.4'. It was difficult to estimate the size of halo due to the superimposed star (just 8" SE of center!) and the low surface brightness outer halo faded into the background. Contains a very small bright core and stellar nucleus within a fairly low contrast "bar" extending N-S.
Notes by Steve Gottlieb