small unknown mushroom

I'm leaning toward rosacea as well, for the time it sprouts(my books have emetica as summer through fall, and this is more of a fall to winter grower) and for it's tendency to turn lighter pink as it matures as opposed to a black or brown tinged red

I would bet on either Russuls rosacea or R. americana, despite the absence of red or pink tinge on the stipe. I have found these before and sometimes the color on the stipe is very faint to almost absent, sometimes deepening or developing with much age.