Hello FredGFromCA,
It sounds like you are not able to send images via text message to contacts that don't use the iPhone, right? When you send messages through text to contacts that don't use the iPhone, it goes through MMS from your cellular carrier. What happens when you send images? Are you seeing an error message that it was not sent?
Make sure that your cellular plan allows MMS and that your MMS feature is turned on. This link will give you more information:
If you can't send or receive messages on your iPhone or iPad
"If you still need help
You can also contact your cellular carrier if you're still unable to send MMS:
Wireless carrier support and features for iPhone in the United States and Canada
Regards.