You can only claim a credit for "taxes paid to another state" if you have income that is taxed by both a non-resident state AND by your home state. The purpose of the credit is to prevent double taxation.
Since your home state of Florida has no income tax, you are not entitled to claim an "other state credit."
The income your wife earned in KS is fully taxable by KS.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
