Cathy,
Link to the Damascus Rotary. Definitely a different model than yours.
http://fullfreezer.blogspot.com/2012...d-and-omg.html
The 127x1 and Eldredge Rotary are pretty close, both have a flat shank, but the 127x1 is about 1.5mm longer. This might be critical in a Rotary model but fine for a VS.
Very interesting about cocking the needle to one side.
Jon