What the house discharges into
A cesspool and a septic system are not the same thing; they fail
differently, and replacing one is a five-figure job rather than a
repair.
Establish which one is there, roughly how old it is, where it sits,
and whether anything has been built over it. A septic inspection is a
separate specialist service — worth arranging alongside, not
instead of, the home inspection.
Where the drinking water comes from
On a private well you are your own water utility. No one is testing
it for you, and nothing will tell you when it changes.
New York's standards do not require an inspector to evaluate wells,
pumps, pressure tanks or septic systems at all. Lou will note what is
visible and tell you how it presents on the day — the
evaluation itself is a specialist job with its own laboratory, and
the report will say so.