What is this weed growing contained by my garden? I have them growing surrounded by the one part of my patio....

I have them growing surrounded by the one part of my patio. It's small, with bright green leaves that enjoy very sharp prickly thorns beneath the leaves, and on the stems. It also grown what look like little tiny watermelons, although the are simply the size of grapes. It seems to spread by runners. They hold grown right up thru the weedblocker fabric I put down this year when I redo the garden. Nearly impossible to pull out, even while wearing leather gloves end in the thorns poke right thru the leather!
Answers:    I believe your thorny weed may be horse nettle. It's very unrelenting, and you're right about the thorns going right through leather gloves! Nasty, cruel weed. If you're not averse to using chemicals, RoundUp will eliminate it if applied properly.
I've posted a correlation where you'll find info on eliminate weeds.

That weedblocker yard goods is pretty useless stuff, isn't it!
Sounds like something from the nightshade kith and kin. Very poisonous, so be careful!