I'm not really interested in this project, because for the first-part I don't understand what you're saying because I don't know what is Toontown anyway.
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I had hoped to find people who once played the game, to want to contribute. Having passion for the game would help especially if you liked it (if you're doing it for free)
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I think you should explain what you're trying to do here, because I don't understand what you're planning to do here, except for the fact that you're trying to create " a great Toontown Private Server". If you guys are trying to make a game I would surely like to help but I think you should explain what is Toontown??, though it looks like there's a big community around it but I'm sure that many programmers don't know anything about it.
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We're trying to fix a game owned by Disney that closed on the 19th of September 2013, played by thousands.
Toontown is a place of cartoon fun. Characters are cartoon-like animals (cat, dog, horse, mouse, pig, etc) and they have a town called Toontown (Central). The way Toons get their strength is through laughter (Laff Points).
The evil robot Cogs that roam the streets of Toontown can't take a joke, and try and invade Toontown. Toons use jokes and pies and throw them at the Cogs for fun and that is a Cogs weakness.
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This is just a small description (basic) of what Toontown is.
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And I've some questions:
Does that mean, that game/server will be on windows only? Will it be implemented solely in Python or any other language is required In other words, what programming language(s) would be used for this project?
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The game runs on Windows, it is a Windows program (server side). The game is written in Python, but I believe it can use C#
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Does that mean its a non-profit project? If yes then what is the licensing for it, is it open-source/public-domain or freeware?
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This will be privately owned, but we will not charge for the game, we will not make any profits from the game.
Any code we produce will belong to the 'team' who made it, but it will not be released to the public to use it for themselves.
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I hope that I'm not asking too much of questions here, but still there are some ambiguities and doubts in your description, I hope that I'm not troubling you much

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That is fine, I am glad you are asking, but if you don't know anything about the game it will be hard to be passionate about it. I suggest you look up some gameplay videos on YouTube and come back and let me know what you think.
Thanks.