If you want to get into a remote box the best method I know of is using SSH/SFTP.
Inside nautilus you can mount a drive as if it was a local drive and once you do that you could potentially open up an Eclipse project.
If it is on your local LAN you could maybe even do FTP instead since it would be faster, but I usually just stick with SFTP since it is fast enough for me when ever I need to work with a project even on a remote system several hundred miles away.
Here is a link on how to install an SSH server on what ever system is hosting the files.
http://tuxtweaks.com/2012/07/install-ssh-sftp-server-ubuntu-linux-mint/
Here is another tutorial
https://help.ubuntu.com/8.04/serverguide/openssh-server.html
Basically if you want a working default setup just use this command
sudo apt-get install openssh-server
and connect with
ssh usernameonremote@remoteIPAddress
The ip address should be the local LAN address if your working that way if not you might need to work with your router.
You can also now mount easily with nautilus if you open a nautilus window and click connect to server.
If you plan on running this all the time you might need to consult some security manuals. I am not a security expert and I use this setup only locally.
Good luck, hope this helps.
UPDATE
If you want to edit something remotely with Eclipse that isn't really a Ubuntu/Linux question, but its easy enough to do from what I have read. I don't personally use Eclipse for this because I prefer Netbeans.
Take a look at this http://stackoverflow.com/questions/4216822/work-on-a-remote-project-with-eclipse-via-ssh