Ilex verticillata looks similar and also occurs in TX according to the USDA Plants Database. Holly berries aren't edible.

Hmm, so is this Ilex decidua (Possumhaw) or Ilex verticillata (Winterberry)? And what's the difference?

I only have experience with Ilex verticillata since I decidua doesn't grow anywhere I have lived and isn't common in commerce. Both are deciduous native hollies that prefer average to damp soil. Both have separate male and female plants like all hollies, so yours is female and there is a compatible male nearby since you have fruit. If this is a wild form, you can read about it (or also the various cultivated forms) by plugging in the name Ilex verticillata or Ilex decidua into the MO Botanical Garden's plant finder in the topmost blank on the form. You may find more locally pertinent info at the Ladybird Johnson Wildflower center's online database.

Hmmm...I would have said Sea Buckthorn (Hippophae rhamnoides). Form, berry color, and habitat favor it over either of the deciduous hollies.

That produces different branches and buds - these are hollies.

"Silvery bark and leaves with rounded tips say possumhaw. Dark
brown-to-black bark and leaves with pointed tips say winterberry. Also,
possumhaw grows twice as big—up to 25 feet tall and 15 feet wide.

Both thrive in acid, well-drained soil that contains lots of organic
matter. However, possumhaw also grows in alkaline, limy, rocky soil.
Winterberry won’t. But winterberry will grow in wet, boggy soil.
Possumhaw won’t."

So, given the more silvery-looking bark in my pics (+ limy soil), I will guess it's Possumhaw.

Thanks all!