Lizz, since you used compost soil in the garden, maybe there were some squash seeds? it looks like either summer or winter squash, when the fruit develops, you probably can tell.

The second one, I know I have seen it before, maybe an herb?, try to rub some on your fingers and sometimes you can tell by the scent.

And you said that you are getting turmeric, mine is coming up too...

Silvia

The second photo might be mexican buttercup aka yellow adler but i am not sure.

Second photo looks like a sunflower w/ chlorotic leaves. First does look like a squash or gourd.

Second one looks like stinging nettle to me.

I change my vote, i agree with rikki

Wow, chlorotic leaves was a new thing to me. Appreciate the thoughts!

Silvia- your turmeric is lovely! Mine is just starting. I'm in 9 b.

Here are a few other plants popping up:

I think this one is a weed:

Start of the first fruit/squash/melon (?) on the mystery vine!

I have a volunteer too, that looks a lot like your first photo. I think it's a butternut squash from my compost, but maybe it's an unappetizing ancestor of some hybrid. It's taking up space I need but I don't want to pull it out if it's good to eat. Does anyone have any suggestions about what it is, when I should harvest, and how should I prepare it for eating?

Will your "weed" have small blue flowers (Commelina communis -- Asiatic Dayflower, Blue Dayflower, Mouse Flower) ?

liz1ttr, What did your fruit/squash/melon turn out to be?

liz1ttr, the fruit/squash/melon on my mystery vine turned out to be medium/small butternut squash. We ate two of them tonight. Very good (and not poison) ! There is another that will be ready in about a week and some new ones just starting. The early leaves are dying back, but the ends of the vines are continuing to grow. Now they've taken over most of one side of my pool deck. My garden is way too small for this plant, but I can't bring myself to pull it out, now that I know it's edible.