In this recent preprint, the authors construct a certain uncountable family of non-finitely presented FP groups. Recall that group is an FP group if the trivial $\mathbb Z[G]$-module $\mathbb Z$ has a finite projective resolution by finitely generated $\mathbb Z[G]$-projectives.

In fact, if I understand correctly, the family that they construct is a family of groups of cohomological dimension $2$; but this specific point does not seem to be the focus of their paper. Furthermore, theirs is not the first example of a non-finitely presented FP group, and so it leads me to my question:

Were there earlier examples of non finitely-presented FP groups of cohomological dimension $2$ ?

I want to be liberal with the meaning of the word "example": my question is specifically whether there was an earlier proof that such things existed, whether or not some explicit examples were given.

(NB : this is not quite my field of research, so maybe this is (very?) classical : any pointers to classical literature on the topic where this question is discussed would be helpful)