That looks like a tough example Randy; two layers, as you say.
You did
really well; I'd never have noticed if you'd not shown use the un-cropped SOOC shot.
For anyone's benefit, a single layer of mesh usually isn't
too difficult, my techniques are:
a) Shoot as wide open an aperture as possible - and as large a format sensor camera as you have on you*
b) Get as close as possible to fence, touching mesh ideally, shooting at right angles through it is good too
c) It pays to check the front of the lens and ensure that as far as possible, the mesh doesn't cross the middle of the front element and if having mesh there is unavoidable, (temporarily) stop down and use DoF preview so you can see it better through viewfinder so it can be positioned across parts of the subject's anatomy that are going to be easier to clone later (if necessary). Certainly never have mesh across the eye(s) or face. Don't forget to open up aperture again so the mesh is far from the DoF range.
d) Shoot through the thinnest wired areas of mesh
e) Shoot through darker mesh if there's a choice
f) Shade the mesh from sunshine if possible
g) Sure I've forgotten something
* One exception to this: if you can get say; a cell phone lens; to completely shoot between the mesh, that might be better
Cheers, Dave