In respect to this, how do I copy an entire text conversation on iPhone?
Tap the curved forward arrow in the bottom-right of the screen. Tap and hold in the text field, hit Select All then select Copy.
Furthermore, can you share messages on iPhone? Forward text messages, photos, and videos to others on an iOS device. The Messages app that comes installed on every iPhone and iPad has a feature that can be used to forward text messages using the Share option. You can also use this feature to print text messages (a version of it is used to delete text messages, too)
Also to know is, how do you make copies of text messages?
Unfortunately, though, there's no built-in feature for print out text message conversations. Neither iOS or Android have features that allow you to do this, but there is a workaround that's still fairly easy. The first thing you'll need to do is open up the text message conversation on your phone and take a screenshot.
How do I download text messages from my iPhone?
To access text messages on an iPhone, open iExplorer and connect your iPhone to your computer. You should see the Device Overview screen appear. From this screen navigate to Data --> Messages or from the left column, under your device's name, navigate to Backups --> Messages.