Sounds very strange.
First I thought the sensor for the orientation might "hang" in some way, but then the Exif-data tag "Orientation" (I suppose that is what you mean with "Remainder" ) should be 90 or 270 degrees and not normal as you described.
If i understood you correctly the image data is vertical while the Exif data says it's horizontal.
I do not come to a logical explanation now...
Maybe you can post a small version (or a rigid crop if you don't wanna show the whole image) with all exif data to analyze ?
Dieter