Kendall, I am sure you have followed this process to change your email on Facebook but not confirmed or something; this is the whole process:

Click on "Edit my profile" under your profile picture,
Click on "contact information"
then "Add/Remove Email Addresses"
by "Contact Email" click "change"
click on "enter new email address" and do so,
then click "Change Contact Email".

You are then asked to enter your Facebook password to confirm the change.
Enter, click "confirm" and a confirmation email is then sent to your newly-entered email address.

I guess you are then expected to reply to this email they send out, in order to confirm the new address is active.

If all of these steps are not followed they will continue using your old email address.