The solution depends on where on your PC you can still see the old account you want to remove.
1
If that account appears on the login screen.
Click your Start Button, then just type netplwiz and press Enter.
On the resulting utility do you see the old account?
If so, select the account there, and click Delete.
2
If that is not where you see the old account, please provide a screenshot of where you see the old account your want to remove, and please hide any Email address that may appear in the screenshot.