Partitions as studied over the last century have traditionally been sums of positive parts, but in a recent Bulletin paper Andrews took a fresh look at the work of Euler and noted that the grandfather of the subject had no such compunctions. The briefest of observations suggested that interesting theorems with connections to classical results of the field could be had for a song; we will delve into the nature of some of those results and make at least an early attempt at systematically retooling some of the standard partition toolkit for dealing with these generalized objects.