Well, what is the " X and Y coordinates" of a shape? How do you define it?
If you open a SVG file like bot1.svg in a text editor, you will not find such coordinate clearly marked as XML attributes. There are only paths, which has indeed some starting point, but in can be in any place of the shape.
Some simple primitives, like circle, has cx and cy as attributes, and they are stored internally in PShape in a params array, and indexes depending on the kind of shape. You can have this array with shape.getParams() or a coordinate with shape.getParam(i).

Don't forget that a shape can be in a g container that can translate it, scale it, rotate it...

Thanks, Phi.Lho.  You set me on the right track.  Sometimes half of the answer is figuring out the question.

In theory, the highest vertex isn't necessarily the highest point of the shape: the curve can go higher (or lower than a control point). But if that's good enough for you, all the best.