The email is sent through Joomla's email API. The sender information used is what you have configured in your site's Global Configuration.
Please note that the name of the sender included in the email is just a hint for the mail user agent (a.k.a. MUA, the application which will display the email to the recipient). Some MUAs will ignore that and display the name you have stored in your address book -or one they believe is correct- based on the sender's email address. As far as I know this happens with GMail. When someone sends you an email and GMail has found a GMail / Google Apps account by that email address they will show you the contact card they have in file for that email address, NOT the sender name included in the email itself. Based on the screenshot, I understand that you do use GMail and that seems to be what is going on. Unfortunately we can not do anything about this.
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
Please keep in mind my timezone and cultural differences when reading my replies. Thank you!