How to enhance trackback link text?

Hello,
We posted a link to a blog entry on another site, but the link text that shows in their trackback link for our blog entry is rather basic.

Is the link text that gets shown in a trackback based solely upon the title of the blog entry that links to it or is there a way to enhance it a bit? For example, how can I make it so that the trackback link text shows my blog entry title, plus my site name, site slogan, etc.?