Maybe. Whether or not she would be liable would depend on the specific facts. Since she doesn't have insurance, however, unless she has assets (which is possible, but unlikely if she doesn't have car insurance), it may be a waste of time, since she wouldn't have anything to pay any judgment you would get against her.
Disclaimer: This answer is provided as a public service and as a general response to a general question, it is not meant, and should not be relied upon as specific legal advice, nor does it create an attorney-client relationship.
Mother may be liable under family car doctrine if child was living at home and car was available for use. Other liability may be available, but prior answer hits the main point -- what is there to recover? First thing to do would be to contact your own insurer and apply for uninsured motorist benefits. Your insurer would pay you and go after other parties if it chooses. Also, in the criminal action, other party may be ordered to pay restitution. Report it to the dept. of licensing. She may also have to pay to renew/get license. You may want to hire an attorney to help if you decide to file. An investigator may also be able to do an asset check for daughter and mom to see if it's worth pursuing.
Sign up to receive a 3-part series of useful information and advice about personal injury law.