I have to assume you are referring to Sen. Jean Carnahan?
The only aviation related news stories I can recall about Claire McCaskill involve questionable use of taxpayer money for ~90 flights in a PC-12 she owned with her husband and others via LLC and that the LLC failed to pay MO property tax on the same aircraft for several yrs, something she was "unaware of." Of course in both cases, she wrote checks to cover the bills owed and it was all forgotten.