By the name of the link I think you mean the text that represents the link. Like the name would be "This Link" in this example: "
This Link"
It should be possible to parse the source of Page 2 and trim out the text that represents the links using php but this can be used to parse the entire file and not just a user selected link.
JavaScript can be used for drag drop ability but I believe you'll need to change the code on Page 2 as well for this to work.
EDIT: Looks like I was wrong. You should look into JavaScript drag drop, I think you can do this without coding on Page 2.
vxc