Indeed, it sounds like a sharing problem. But, based on your explanation, I'm not sure what your issue is as your terminology is not standardized.
Example: you said, "I am trying to get another 2nd computer recognized on the hard drive." What would be more accurate, is that you are trying to get the 2nd computer to recognize the 1st computer so you can access the 2nd computer's hard drive.
On the other hand, you said the hard drive uses a network interface, and you have it connected to the router. So does it have some kind of web based interface? No, if what I read about it says that it uses USB 2.0 and eSATA, which means it is directly connected to the 1st computer, and so it would have to be shared to the 2nd computer via the 1st computer.
I also note you don't specify any operating system, which is absolutely required. Because, for example: Windows 10 has sharing problems; I'm a professional, and I haven't bothered till they fix it.
You said: "I registered the ID and password", which does sound like you're using Windows to set up a share. But then you say, "Did Run //storage/person" which means nothing to me. As that's not any way to set up a share that I'm aware of. (Maybe I'll learn something ;-)) And then you say, "2nd computer's hard drive was not recognized" and that's confusing, because I thought you were trying to see the Coolmax which is on the 1st computer, right? Or is it on the 2nd computer. So it's really not clear what you're doing, or what you think you're trying to do. If you clear this up, I'd be happy to see what I could do to help.
How to set up File Sharing on Windows 10
