Most companies do not consider non-moving violations as a factor when calculating your rate. But every company is different so you may run across one that will rate on non-moving violations, but it is really uncommon.
Texas law states you must file a police report if the accident resulted in physical injury (or death) or property damage exceeding least $1,000. If your daughter is filing an uninsured motorist claim (i.e., a hit and run), I recommend filing a police report.
While it is normally up to the party who was hit to initiate the claims process with your insurance company, you can always be proactive and contact your insurance provider to let them know what happened. You can provide pictures and the details of the incident to the claims department, but no repairs can begin until the other party decides to start the process.