Is my serial number what year is my MacBook Pro?

To find the year of your mac click on the  top left of your screen and select About This Mac.

Your Mac model.

https://everymac.com/systems/apple/macbook_pro/specs/macbook-pro-core-i7-2.7-13-early-2011-unibody-thunderbolt-specs.html

+1.

Mine does not list the year it was manufactured in "About this Mac". Any other ideas?

Type in the serial number here: https://everymac.com/ultimate-mac-lookup/