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This certainly seems like it's a Lepiota, but Lepiota can be very hard to identify to species. Judging from the size (Lepiota Lilacea tends to be smaller than this), though, and color of the stem (Lepiota Lilacea has a pinkish to purplish stem with a dark underside), I don't think this is Lepiota Lilacea. I think the recently reclassified Leucoagaricus americanus (it used to be Lepiota Americana) is a more likely candidate.
Spring Agrocybe (Agrocybe praceox) fruits in April, is widely distributed in North America and has a dark brown spore print. Hard Agrocybe (Agrocybe dura) typically doesn't fruit until May, but is more likely to develop a cracked cap.