TS3276: OS X Mail: Troubleshooting sending and receiving email messagesLearn about OS X Mail: Troubleshooting sending and receiving email messages
Open mail - select the word mail beside the apple, and select preferences. Go to the accounts tab, and select your email account. Change the "full name" section to what you want to on the email.
This solved the problem however interestingly the name in the settings was already the name I wanted to appear, however when I deleted it and re entered it it seemed to do the trick