In Mrs. Denmarks position, I'd also thank Mr. Beck, and leave it at that.
However, Mrs. Denmark has the right to collect some damages from Mr. Beck, if she so desires. Obviously, most of the fault lies with Mr. Logan, and Mr. Beck should only be required to pay some percentage of the total damages due Mrs. Denmark, in proportion to his share of responsibility.
California has a law on the books where an individual found to be acting in self defense can not be held criminally or civilly liable for injuries, including death, inflicted upon innocent bystanders. The perpetrator is charged with that crime as well.