ACTUALLY... especially being a homeschool mum... you have quite a few opportunities to both work "in your field", get paid, and set your own hours.
Most HS parents don't teach everything. We farm stuff out. We sign our kids up for one off classes, weekly classes, seminars, & camps. A LOT of our kids are in community college by age 14-16 at least part time.
Whatever your field is, you can start teaching classes to these kids. You pay a nominal fee to a local community center, advertise through local HS groups, and teach. Average class prices vary by region, but in our region $100 per month (once a week class for an hour) is pretty common, as is $250 for 3 months. Say a class size of 10, and that's an extra $1000 a month. Even if you drastically reduce from "normal" (say $50 a month), that's still and extra $500. For 4 hours of class time, about 10 hours of prep time.
It lets you set your own hours, bring in extra money, and still be working in your field.
Some classes are more popular than others... a Microbio class for 6-12yo's I taught year before last ($60 a month fee to the community center) only had 3 kids in the first class, and then I had over 40 kids sign up for the second, and did it in multiple days. I just charged $50 per child, $25 for each sibling. Parents REALLY dig syllabi, photos, and projects that can be used for portfolios. Our state doesn't require portfolios, but most of us keep them anyhow. ((If you teach older kids, those portfolios are required for University entry - CC is free for "highschool" students in our state and just requires being under 18.. but the Ivy League and State U's all need portfolios and interviews in addition to the standard application).
We've been a part of some *amazing* classes put on by other parents and pros specifically for homeschoolers. A unit study on chocolate making, any language from anywhere on the globe - living or dead, shakespeare, archeology, drama, art... ANYTHING that a person can teach can be set up as a class (as short as a single day camp type class, or 5 weeks, or 12, whatever). Because in the vast majority of states even if you farm out classes, the parent is the responsible party, it cuts through a lot of red tape. Community Centers & Churches have their own insurance / etc., so unless you open a storefront, one ususally doesn't have to get any kind of business license or insurance, etc. One files taxes as either an independent contractor or a tutor. Just as an example: I'm not a microbiologist. I just happened to be talking with some friends about the unit study I was setting up for my son, and they asked if they could join and my house wasn't big enough, and then someone suggested listing it with the other homeschool classes at the community center once they saw what we were doing, and then I got way, way too busy. I may do it again at some point, but I'd personally need to not teach more than one class a week.
Anyhow... just something to think about. We have a large HS community here (both secular and religious), so I was up to my eyeballs in work... but if you offered one or more classes during "afterschool" hours tons and tons of parents search for enrichment and college prep classes for their away school children.
Just a thought.