"To" name gets changed to mine when moving emails to a "New Folder" in the tree

Hi, I created a new Folder in my Folder List just for emails from and to specific people related to an ongoing project.  I created an Inbox folder and a Sent Items folder.

I moved all project related emails into these folders 

Now, in the Sent Items folder I created, it shows my name on all emails instead of who I sent them to.

Is there a way to fix this so the recipients name shows up like it does normally?