The stabilator folds along both sides of the vertical fin in the stowed postion. The left side is sandwhiched in between the tail and the tailboom, while the right side is visible when looking at the tail from the port side.
In these photos you can see the folding points on the stabilator of this HH-60G Pave Hawk;
http://www.s205409446.onlinehome.us/AWA1/601-700/walk609_HH-60_Provenzano/32.jpg
http://www.s205409446.onlinehome.us/AWA1/501-600/walk599_HH-60_Shirley/14.jpg
HTH,
Alby