Re: Desert hairy scorpions
From what I can tell this is at least not one of the parthenogenetic species of scorpion, so once she molts she'll likely not have any more - if they're like tarantulas she'll slough the inside of her genitals as well when she molts which will toss any remaining sperm.
Looking at care sheets, this species is said to be more cannibalistic than some - a lot of scorpion species are surprisingly peaceful in groups - so removing the offspring sooner rather than later might be a good idea. As for water I'd spray the side of the enclosure and let them drink from that - they're a desert species so they likely don't need a whole dish.
Re: Desert hairy scorpions
Oh sorry, missed the thing about feeding them - they can eat prekilled of whatever mom's eating. If it's too big and you're not squeamish you can cut it up into smaller pieces for them. Plenty of people in the T hobby feed prekilled up to 2" or more but I'm kind of tough on mine and start offering live small mealworms or pinhead crickets around 1/2" and watch to see if they're able to hunt on their own. At first they'll run from the prey but they always figure it out eventually.