As someone who does a fair bit of bankruptcy litigation in addition to being familiar enough with Florida's asset protection laws (which in fairness is far more debtor friendly than most states), I'm just not seeing the real benefit to her filing a bankruptcy petition now. It might make sense 6 months from now, 2 years from now, etc., but the rush to file now seems tied to this one creditor (funeral home) threatening a lawsuit. She's not getting thrown in jail because someone threatens or pursues a lawsuit. Worst case scenario is they make good on their threat, sue her, and get a default judgment. She's looking at a minimum of 3 months for that to play out before they have a piece of paper saying she owes money. If she's got nothing to collect (or more importantly, nothing they know which is available to collect), then it remains a piece of paper and either the funeral home or whichever debt collection company they sell the debt to can spend whatever they want in fees/costs spinning their wheels trying to collect nothing.
Bankruptcy is not a magic cure in all situations. She could spend $2,000 to file and if the funeral home is super aggressive, they can sue her in the bankruptcy court to stop/avoid her bankruptcy discharge (on the basis that her promise to pay was fraud or that she didn't disclose assets on her petition). That $2,000 doesn't cover any adversary proceedings, so now she needs to hire someone to defend otherwise the bankruptcy was a waste. So now she's looking at minimum of $10,000 to get out from under $16,000 of debt. There are many reasons why bankruptcy might not be her best solution today.
As I said above, and a lot of this is Florida-specific, but a judgment is just a piece of paper. I had an opponent get a $110,000 judgment against one of my clients in July 2017 (they were suing for $3 million and there were 10 defendants, including the client's wife). After the trial the other side asked me when they could expect payment. I laughed at him and wished him good luck. The husband/wife own 3 rental properties together (untouchable), they own 2 restaurants which probably bring in $200,000/mo (untouchable). So long as he's not stupid enough to open a personal bank account with only his name, stick $100,000 in there, and tell the other side about the account - they will never recover a penny. Unless you're suing a huge corporation or someone with an insurance policy, the chances of recovering anything are generally minimal if the person being sued has half a brain.