I paid my state taxes at the time of filing, is there a record that I review - with the charge card used and the date of payment?

Did you go directly to the state website and oak with your credit card?  You might have just paid the Turbo Tax fees with the credit card.

Your only proof of payment is your bank statement or credit card showing the payment coming out.  Turbo Tax only passes your bank account number to the state for the state to take it out of your account.  But most states do not let you pay by Direct Debit so you have to mail in a check or go directly to the state's website to pay.  And some banks use different routing numbers for deposits and payments.  Double check the number you entered with your bank. 

Check the printout or PDF of your return; look for the state cover sheet with the Turbotax logo.  If you owed tax, it will show the payment information and how/when you decided to pay.  Read the state payment instructions carefully since most states cannot be paid from within the TT system and requires additional steps.

https://ttlc.intuit.com/questions/1900884-what-are-my-options-for-getting-my-state-refund-or-for-paying-any-state-taxes-i-owe