Judah wrote:

As I am coming up on the downwind, I call in - entering the midfield
downwind for 9. A few seconds later he asks me to ident. A few seconds
later he tells me he "Radar Contact, 9 miles east of the airport."

I'm looking at a runway now, figuring I'm about 2 miles out entering the
midfield downwind. After asking him to say again, I realize what's going
on... Orange County (MJG) is about 8 or 9 miles east of SWF. I'm setting up
for Runway 8 at Orange. Fortunately, it's not a controlled field,

Huh? An UNCONTROLLED field has radar facilities???

I don't have a sectional for this area, but is it possible you were
talking to Center / Approach or Departure rather then MJG Unicom?

Allen