Those "nasty mushrooms" are probably
"Stinkhorn", mutinus caninus. Orson Miller's Mushrooms of North
America, says "odor slightly fetid" but "nasty" is a better description.
There is a pinkish stalk with a black/brown head. At the base are oval "eggs"
that the body grows from. Often you'll notice flies buzzing around them. I
understand that insects spread them around. Since they grow on decayed wood,
they're often difficult to spot at first but the odor certainly will stop you. I
often use wood chip mulch and during a year with lots of rain, they are more
frequent. I dig up all the "eggs" and dispose of them in a plastic bag and
they don't seem to reappear. They'll grow in sun or shade. Certainly not a
pleasant addition to the hosta garden.
256 Peacham Pond