The state and federal tax refunds are processed by different agencies on different schedules and on different days. If you are having fees deducted, they only come out of your federal refund. The state refund only goes directly to your bank account or comes to you by check.
If you are not sure what is supposed to happen in your case, log into your account and download or print the pdf for "ll forms and worksheets" and look for the instructions page.
If you need to track or locate your state tax refund you will need to check your state tax service web site, as they are all different.
