Display recipient not sender when mails moved to another folder in the same account

This is probably me not having set something properly, but this is the problem I have. Mails in the sent folder are sorted by time, and they show the recipient in the folder listing.

However, if I move a sent mail to another folder, then in the folder listing it shows up as being from me, which is about as much use as a chocolate fireguard.

How do I make sure that when I move mails from sent to another folder, the original recipient shows up in the list, not me?