Auto Insurance Claims: Car backed into me in parking lot, but it was an unmarked one-way lane, due caution, own insurance

Question
A car backed into me just after i had entered a parking lot in California. I did not know it was one way, no signs or markings, but realized it was one way once i was in the lot because of the angled parking. I was stopped, about to back into a spot to correct this, and as i was stopped, a driver backed into my car from a parked space. Is it not the duty of the driver backing to yield to all other traffic? Her insurance claims it is my fault due to the one-way lot, but SHE HIT ME. She did not look and backed into my driver's side door. It hit at the back of my driver door and also part of the body of the car as well.

Answer
Hi Jessica,
It is important to report this to your own insurance company and have them deal with the adverse insurance company.
Per the statements made in your question, there appears to be negligence on both parties.  You for driving in the wrong direction of a one way parking land and the other party for backing without due caution.
Most cases like this are settled on a 50/50 basis as both of you share fault.
I hope this information has been of help.
Your feedback by rating my answer will be appreciated.
Sincerely,
Bennie
San Francisco Bay Area