It seems that you and your SO (is this your spouse? or are you married filing separately with someone you are not yet divorced from?) keep your finances separate. In some ways, this gives you more control over "your" money vs. "his" money (sorry if you are the "he" or both "he" in the relationship, for simplicity I'll assume you are female and SO is male), but in other ways, this makes planning for FIRE much more difficult because you are only able to plan for part of the equation. For example, what if you get close to FIRE and SO decides to no longer pay for rent? Then you can't quit working, or need to save a lot more to cover that cost. Are you planning that you would both FIRE simultaneously, or just you (and is SO supportive of this plan)?
Why aren't you taking your child as a dependent? Is this something to do with only one parent being able to count the child as a dependent? I think if you are providing most of the support, even if you are getting back child support payments, you should be getting the child tax credit. I'm not a CPA or attorney or tax preparer, but I think this is odd.
Is the $255 for cable including internet and television? I'd drop the television coverage, if so, and go to something like Netflix or Hulu. You may be able to find cheaper internet access, as well. For an example, I pay about $75/mo for internet and phone.
I'd also drop Ancestry.com while you get out of debt, at the very least. Use a site like
https://familysearch.org/ that's free. See if your local public library offers Ancestry for Libraries if this is a big hobby (Heritage Quest may also be an option via public library or local history center/historical society). See what your local or state history center has to offer for genealogy research, as well--many of these are for free. And if you are of a particular heritage, see if there's a local or state chapter for that (for example, Minnesota has a Swedish Genealogical Society).
You don't list interest rates for the debt, so I'm just going to assume it's pretty high. Pay it all off, as quickly as you can. Cut out everything you possibly can--no meals out, very limited entertainment (use your public library for books, DVDs, etc.), and pay this all off. Then once it's paid, use that money for savings. If you have a 401k/403b/457b at work, use those to lower your taxable income.
One other thing: is your health plan a HDHP (high deductible health plan)? If so, an HSA may make a lot of sense for those high medical costs.
As a busy parent, it may not be possible to increase your income without changing jobs or careers, or doing something from home. Can you ask for a raise at work? Can you look for higher paying jobs? Is there any skill that you have (or could develop) that you could do from home for extra funds?