You might have read many funny iPhone text memes in popular websites like 9GAG,Reddit and Facebook.Most of them are not a real one,they can be easily generated by Web Apps like iPhonetextgenerator.com.
You can set custom Carrier name,time and contact name.Any number of text messages can be added and it just takes few seconds to generate the text.
Even after generating the text you can re-edit or add further texts and the image can be easily downloaded with a single click or can be shared to your Facebook and Twitter accounts.
[button link="http://www.iphonetextgenerator.com/" variation="black_glass"]Take me to iPhone Text Generator[/button]
Here I created a sample iPhone text conversation.