My email I send shows a company name after my name I want to remove

Let me check on exactly what you are doing. You posted this in an iPhone forum, you came to the forum from a support document about sending & receiving email on your Mac, and your post mentions sending mail from your computer.

What exactly is it you need help with? If it is the phone, what series of phone, what iOS is on the device, and is this company mail or personal mail? The mail on your device picks up the name you use to create the account, unless this is a signature block you have created, which would have to be corrected there. There would be a similar fix when adding the mail account on your Mac.

Did you setup the mail accounts yourself on both of the devices? Follow the steps here to access where to enter or edit your name in the account. Add an email account to your iPhone, iPad, or iPod touch - Apple Support

Here is how to enter or edit on the Mac. Add email accounts in Mail on Mac - Apple Support