Can you give us a total description of your set up:
1. OS version? Windows XP, using Firefox
2. What firewalls you have? Ones that work.
3. How much ram? Enough.
4. Hard Disk space available? A lot
5. Connection type? Cable
6. Modem & router brand name & model numbers?
7. Where are you trying to connect from? Home
8. What version of Limewire? 4.10.12 and Java 1.4.2.
9. Who is your ISP provider? Adelphia
10. Are you sharing the connection with other computers or p2p sharing programs? No.

It's simple, I've had limewire for years and have had no problems. I have one of the oldest versions, something poped up and said 'you must download the latest limewire', and alas I did. Since then I can't connect.

Certaintly it can't be the fault of space available or ram.