Maybe I am mis-interpreting the OP, but I don't see any mention of "across the network" in his post?

The impression I got from the post was that the small window was at the bottom of the screen on the same machine as the web browser was running?

Now, if the OP meant that he wants the text replicated in a small textfield or at the bottom of the browser window then maybe I misinterpreted him... but if thats so, a clearer description would have been nice.

He also says "Say I have my Netscape or IE browser open on a webpage; after opening this application..." which further reenforces my interpretation that this is an application intended to run on the same machine as the browser window, not something used remotely...but hey, I've been known to misinterpret people before:)