Corruption in NYC Fire Companies?

I remember in my AP American History class, we were told in conjunction with the Tammany Hall unit that a fire company, in my recollection associated with William Tweed, used to earn money by discreetly setting fires to businesses and homes and standing idly by as the building burned, only putting the fire out when the occupant of the burning building paid a fee.

Now that I'm looking for specifics on this information, I can't seem to find a record of the incident I'm looking for. I think it was probably pre-1865, as that is when volunteer fire companies were outlawed in NYC, however I'm not entirely certain that it was a volunteer company. I've looked at Tweed's Americus Six, the company that he was a member of, and have found no allegations matching the one described by my teacher.

Does anyone know which fire company my teacher was referring to or if, perhaps, he was misremembering a similar incident? I'm researching this in conjunction with a paper regarding Tweed's corruption pre-Tammany Hall, so if you aren't aware of the specific event I'm referring to but can think of other Tweed-related fire company corruption stories, that would be helpful.

Please remember to cite your sources when answering, as a lack of cited sources is what has led me to ask this question in the first place.

Centrix Vigilis, the only other book I found today was Mandelbaum's, but I'll keep you posted if I find what I'm looking for.

And Red Clay, the problem I'm having is that I can't really find specific citations of any fire company at all setting fires to buildings, at least not in the NYC-related records I've looked at thus far. I do remember quite clearly that this teacher of mine had taught us about fire companies setting their own fires in conjunction with Tammany Hall, however I'm not finding much a record of that. I'm beginning to think he was confusing his historical events, but it would be helpful if I could find which specific event he was confusing Tammany Hall with.