You may want to see if a message was sent to a member. You can search for the email history by Member Name, Subject or Message Body. 

Start by going to Messaging and click Email History. From there, check the search by box for how you'd like to search and then enter the information you are searching for in the white space and click Search. 

You will then see a list of messages.  If you would like to see the contents of the email, click View Details.