Mysteries Solved #3 - Mystery Bush

My 'Mystery Bush': Burroweed

I have almost identified everything that is a plant of any kind in my yard. I have some grasses to properly identify, and a few little bushes. Here's one of them.
EDIT: and I have identified this, now. Answer at the bottom.

This plant surrounding the cholla

Mysteries solved #2 - the Not-Mesquite

My mystery 'not-mesquite': Desert Bird of Paradise

I have a lot of mesquite seedlings pop up and sometimes I just leave them alone and grow a new tree. Only one of them this time around is not a mesquite. It had leaves that seemed like a mesquite

See, mesquite-ish

Mysteries solved #1 - the pinesol plant

My mystery 'pinesol plant': Guarijiro Conivari

My style of gardening and land care is sort of brutal. I tend to like more plants in the ground than in pots so they can 'forage for themselves,' as it were. I grow free range plants. ^_^

I also rarely weed, on purpose. When wild grasses grow, I let them grow and then use them for mulch. When an unknown plant pops up, I let it stay to see what it is - the birds often brings some interesting ones. A tree, a native flower, a grass, whatever. I have had native ground cherries (tomatillos) grow this way, chiltepines, Texas tobacco, a whitethorn acacia, globe mallows, hordes of wild flowers…and the mystery plants. The ones that I haven't a clue about, that no one can identify.

One of these has been what I refer to as my Pinesol Plant. It looks like this:

My pinesol plant