National Forest Maps showing Headwaters Hill
Since National Forest boundaries in this area are defined by major
watershed boundaries, Headwaters Hill is in three National Forests.
Below are small sections from the three corresponding U.S. Forest
Service maps, which show the area around Headwaters Hill (on these
images, I've circled Headwaters Hill myself). As you can see, none of
them indicate that the mountain has a name:

The scan above is from the USFS map of Gunnison National Forest,
revised 1996.

The scan above is from the USFS map of San Isabel National Forest,
revised 1993.

The scan above is from the USFS map of Rio Grande National Forest,
revised 1996.