The content moderation you likely can do around a baby. Customer service if you're able to pick tickets from a selection and again it's text based, you can likely do. I reckon it's doable to fit in 3-5 hours during the day with a baby of that age, dependent on how well they nap, how well they sleep (ie whether you need to catch up on sleep during the day) and how well your house is babyproofed. You would have to spend time in the evenings and weekends to make up the rest of the time.
You can do a solid hour or two while they nap, depending on length of nap/s if they nap on you or alone in a cot/pram - not so much if they need you to walk them around in a pushchair constantly. If you're breastfeeding you can potentially utilise the time that you're feeding them to sleep as well.
You can fit half an hour or so in during mealtimes, if you put the highchair next to your computer and they mostly self-feed so you're really there to make sure they don't choke. Although this isn't ideal as you're not really spending that focused time on them. It also means you would need to be working while you eat yourself as well.
Then you can fit in another hour or two around them playing if you can find activities they're happy to do on the floor near you while you work where you just need to watch them/make interested noises every so often/make sure they haven't decided to investigate plug sockets or high shelves or whatever. I find first thing in the morning is brilliant for this as they tend to be full of investigating energy. It means you need to be ready to go ASAP after they wake up, though!
If you're happy with TV, that's another 30-60 minutes, though I would try not to overuse it just because it becomes the easy fix and is hard to slow down or stop, IME. The best one you want to encourage is them playing with things/investigating things while you work.
It's not ideal/great. Because it means that you're using those moments that you would generally get as downtime to work, which is hard on you. It also means that you're only giving your child half of your attention a good chunk of the time, which makes you feel bad as a parent, and if you suffer from screen time guilt that can eat you up as well. But if you start at say 7 and your child has 2 naps of about 1-1.5h and then 45-60m, that's about 4-5 hours working/half parenting, 2 hours say on things like food prep, setting up/clearing away toys and nappy changing, and about 3-4 hours left before 5pm-ish to be split between time where you give them quality one on one attention/fight fires (tantrums, accidents) and downtime/moments where you just collapse with a cup of tea or mindlessly scroll facebook. If you ever go out, that would have to come out of those 3-4 hours too. (Assuming that after 5pm you would have a partner home to help).
It would need to be a short term solution - I'd get on all the childminder and nursery waiting lists you possibly can for a part time place ASAP, because then you can concentrate more hours into their nursery time and don't need to do so much when they're there and awake.
But for minimum wage, if they are that desparate I'd be asking for higher pay for the extra hours!