John Herschel discovered NGC 1921 = h2834 on 12 Nov 1836 and recorded "vF; oval; r; 40"." His position from a single sweep is accurate.
James Dunlop possibly discovered the cluster earlier on 24 Sep 1826 and recorded D 128 as "a small faint nebula, 1' north of a pretty bright star." His position is within his usual errors - 8' WSW, but there is no "pretty bright star" 1' S, so I'm not confident of this identification Perhaps this is another observation of NGC 1918 to the north. Another possibility is NGC 1921 = D 89, described by Dunlop as "a pretty well-defined round nebula, about 20" diameter. His position is 15' ESE of NGC 1921. Without further information or a sketch, I can't see assigning a Dunlop number to this cluster.
600/800mm - 30" (10/15/15 - OzSky): at 394x; moderately bright but small nebulous glow, with a mag 13.5 star [or an extremely compact emission nebula (N121) or cluster] just off the west edge [20" separation]. A very faint star was visible at its southwest edge. There was only a weak response to an NPB filter at 152x. Located at the south end of a very rich region of the LMC (south side of the central bar) just 8' S of the NGC 1918 complex. Numerous other clusters lie ~15' N. A faint cluster H-S 227 was noticed 2' SW. It's a very faint, small, roundish, low surface brightness glow, ~20" diameter.
Notes by Steve Gottlieb