Changing Email Name Help

[Prudie]

Please can anyone help, this seems a complicated problem to me so apologies in advance for the long post. I have a Dell laptop running W7 with Microsoft office 2010 installed. I use MS Outlook 2010 as my main email client(?). For the purpose of the query assume my real name is Prudie Jones and my email address is prudie@blahblah.
If I send an email from my laptop to anywhere else it appears on arrival in the inbox as Prudie Jones
I also have a hotmail account which does the same thing, arrives as Prudie Jones . In other words it shows my real name
My laptop's name is Prudie NOT Prudie Jones
Where have I put my full name of Prudie Jones so that this appears on sent items and where more importantly can I change it. My thoughts are that it's in my PC rather than in Outlook because hotmail does it as well.
Any help?

[Prudie]

hmm some bits that I put in less than and more than brackets have not shown up in my post (must be something to do with HTML). Anyway the emails arrive as Prudie Jone(prudie@blahblah) if that makes sense

[Buenchico]

In Outlook 2010:

https://www.youtube.com/watch?v=ZHXd0heX2zE

[Buenchico]

Tochange the details on your Hotmail account, log into it via the website. Look for an 'Accounts' link and then an 'Edit' option.

(I'm hoping that works. I wouldn't touch Hotmail/Outlook.com with a bargepole and they have a nasty habit of changing things - always making them harder to use! - anyway)

[Jackdaw33]

Don't they all do that, your name (which you must have input at one time, followed by your email address in brackets)?

[Prudie]

Well that was easy. Thanks. Will try the hotmail one now.
jackdaw yes they do, I have changed my name on marriage recently and needed this reflected..

[Prudie]

Thanks again, the hotmail one has changed successfully too.