Hi Pooleharry,
We recommend that you try the steps in the link below since you're unable to send text messages via your Mac.
If you can’t send or receive messages on your Mac - Apple Support
Try these steps first
After trying each step below, try to send a message again.
* Restart your Mac. Choose Apple menu > Restart, then click Restart.
* Make sure that your software is up to date. Learn how to update the software on your Mac.
* Make sure that your Mac is connected to the Internet. To check your Internet connection, try loading a page in Safari or another web browser.
* Check that the date and time is set correctly on your Mac.
* Make sure that you enter the correct phone number or email address for the contact.

If you see ‘This user is not registered with iMessage’
If you try to send a message and see an alert that the person isn’t registered with iMessage, the message is trying to send using SMS/MMS. Make sure Text Message Forwarding is set up and your iPhone is powered on.
If your contacts see your email instead of your phone number
If you can send messages but your contacts see your email address instead of your phone number, make sure that you're signed in to iMessage with the same Apple ID on all your devices. Learn how to add your phone number to Messages on your Mac.
We recommend the steps above because they will show you what to do if you can’t send or receive messages on your Mac.
Please let us know the outcome after giving the above steps a try.
Thanks for using the Apple Support Communities.
Cheers!