Which phone model do you have? Have you tried forwarding the message?
I'm most definitely NOT a VZW employee. If a post answered your question, please mark it as the answer.
You can try to long press the text message you wish to copy and hit copy text message and then long press where you would like it pasted. Or you can long press the text message and just hit forward text message and send it to whomever you want to see it.