Here is a useful tool I found during a quick search:
http://dinnerbone.com/minecraft/tools/status/It appears to be a website which allows you to enter the IP address of your Minecraft server to determine whether or not it is running correctly. Whether it works correctly or not, I cannot say. However, from a first glance, it does seem to have some promise.
I suggest you try it out and report back. Good luck with the Minecraft server!
Thanks! I'll try it.
No problem, e1ghtSpace! I am glad that I could help you with your little dilemma. I would also feel as frustrated as you were if I was in a situation where I could not test my own Minecraft server.
I would have offered to try it myself, but unfortunately, I do not have Minecraft installed on my computer at this time. I enjoyed playing it greatly in the previous year, but I have since then stopped playing it as much.