Was I double-taxed?

I live in South Carolina and work for a company based out of Virginia.  My company had my residence incorrectly set to Virginia until around 4 months into the year.  I paid state taxes to Virginia for the 1st quarter and to South Carolina for the rest of the year.  Is there a way to know on my W-2 (or elsewhere) if I also paid state taxes to South Carolina for the 1st quarter or to Virginia for the rest of the year?

 

Thanks!