I review how some influential nemertean systematists have perceived and illustrated phylogenetic trees and argue that the nineteenth century nemertean taxonomists still influence many contemporary nemertean taxonomists to a high degree. By showing how nineteenth century systematics differs from more modem views on trees, I hope to convey the advantages of a cladistic approach to tree-thinking and nemertean systematics. Furthermore I propose a systematization of the Eureptantia that illustrates the cladistic approach to tree-thinking but, more importantly, is also a better representation of eureptantic phylogeny than previous classifications.