A good project for the lathe is an adapter, that will adapt the 5/8" - 11 threads of the grinder motor to a 1/2" or bigger drill chuck.
Samuel mentioning putting the drill in the vice reminds me of what I used to do.
A big course file works wonders on brass.
Just keep the end off of the chuck. Once in a machine shop a guy was filing on the metal. The tip of the file caught the spinning chuck . He did not have a handle on the file ether.
The lathe shot the file like a spear thrust on an unarmed peasant. A sucking chest wound. Not a pretty sight. I will tell you about my finger getting sewed back on sometime. Damn just thinking it about it makes it hurt all over again......