In these days of multiple email addresses (personal, work, etc.) it’s often helpful to setup Gmail so that you can receive and send email as any one of your email personas. Gmail has a handy way to do that.
Click the gear icon in the upper right hand side of the screen and choose settings:
Once there, around the middle of the page you will see a link that says:
Type in the details of the address (what you want your “from” name to be and the email address you’d like to add.
Once you’ve clicked the verification link, you can now send and receive email from the new address into your gmail inbox.
If you’d like to send an email from the new address, just click the drop-down arrow next to the From: address when you are composing an email.