My mother, age 93 died 11 years ago within 7 hours of getting a shot of prdnizone. Any recourse?

I am sorry to hear about your mother.  Unfortunately, it is very likely that the statute of limitations has run, and thus,  you are barred from bringing legal action.  It is likely that the statute of limitations in Iowa for this smatter is 2 years after the injury/alleged malpractice.  Thus, it would have been 2 years from the date of the shot/your mother's death.  You are likely 9 years too late.  NOTE:  This response is general in nature and should not be considered legal advice.  No attorney-client relationship exists or is formed by this response.