Lupara

 Lavender, I believe Armillaria Bulbosa is the Latin name. Bulbosa referring to the bulbous stem of this subspecies. A close relative to the ones you mention.

A choice edible Foxfan.

My grandfather called them simply "fungi" (pronounced foongee in Italian). Younger generations in northern Elk County call them "Stumpies"  or "Stump Mushrooms". Nationally they are "Honey Mushrooms" because the range of color of the cap is similar to the range of the color of  honey. I was just wondering if anyone called them by another name?

Have been for a few days now  but I could use the head start. Those familiar with this variety: what do you call them?