Yesterday afternoon I photographed a Boeing 777-300ER flying over my home, according to radar data it was at approximately 32,000 ft. In the photograph there is another aircraft present, it is much smaller and higher in altitude (40,000-50,000 ft) and it is a small aircraft, possibly a drone or military. It did not appear on any flight tracking sites. I usually see military traffic flying in that particular route and heading. I have numerous "raw" images of this particular aircraft.
I originally though it may be an L-39 although that particular aircraft does not have a T tail design and I think that it would struggle at that altitude. The photographs were taken at 1545 EST over the LVZ VOR.
The aircraft was flying an almost perfect east to west heading usually reserved for military traffic. One interesting note is that it was not leaving a contrail. I routinely photograph B-52's, tankers, and fighter aircraft transitioning over my home at or about that altitude and they almost always leave contrails.