I noticed when texting my daughter, that the image that shows on the far left side of the message thread is wrong.
How do I change it to another picture?
Go to your own contact in the contact list, and change your own photo. I'm pretty sure by default you have a contact of yourself (and you can't delete it). Perhaps you have a duplicate of yourself, and changing the duplicate won't fix the 'real' you.
I went ahead and created a contact, put in a picture, deleted the contact picture of my wife whose picture was being used mistakenly for my contact. Set myself as a favorite and it switched now to showing my picture instead of hers.
I dont know what this idea of an undeleteable contact is. And there was no contact of me on the phne when it was setup, but now there is.