Car Accident Personal Liability Question

r/

Location: Florida
I was in a non-fatal at-fault car accident. Long story short, insurance payouts were made but victims are pursuing additional settlements.
The car and insurance were under my parent’s name, however I personally caused the accident with no involvement of my parents whatsoever.

When it comes to liability and risk to personal assets, am I solely responsible, or can my parents be asked to pay up as well?