Start the State amended tax return first...then go to the Federal section to change what you need to indicate the $$ amount for the 1099-DIV.
That doesn't change the Federal file in any way, so you don't need to actually amend the Federal forms.
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Alos, make sure the $$ amount you are putting in for US Gov Dividends is enough to bother amending the state. i.e. for every $100 of Govt dividends at 5% State tax is $5 back to you. (depends on your state's tax rate)
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*
