How do I permanently delete text messages and some photos off my iPhone?

Hi bskoug,

Thanks for using Apple Support Communities. Based on what you stated, it sounds like you want to manage messages. I would recommend that you read this article, it may be able to help the issue.

Manage conversations - iPhone

Delete a message. Touch and hold a message or attachment, tap More, select additional items if desired, then tap .

Delete a conversation. In the Messages list, swipe the conversation to the left, then tap Delete.

Cheers,

Mario