The private pool that was asked about by the OP and explained in post #10 is located at this link.
Google Maps
The townhomes were brought up by a poster explaining that many areas have separate fees from others, but it has clouded the conversation. The townhomes having tile roofs explains why the costs were high and why it only pertained to them. However, as explained in post #10, they are not where the private pool is located, that is at the link above.