Sharepoint - How to show names of attachments from a list item in a column?

You have 2 ways to do it.

One is create a hidden field in the list named Attachments, and with the help of event receiver, set it when attachment added, updated, deleted. So, now you have the attachment names (if needed add them as links, for this the column must be of type multi line text box (rich text field)).

Second and easiest way is the modifications using SharePoint Designer. Just follow this steps mentioned at: http://amitphule.blogspot.in/2012/04/display-item-attachments-in-sharepoint.html

Let me know if you need any additional help.