Jack Snipe miniature narcissus
This picture is from 3-27-06, and is of the Jack Snipe on the South side, with the shingles behind it. This year that South side bunch was done flowering a week or two before that date.
I think of these and Tête à Tête as early-middle blooming dwarf narcissus. They start after Narcissus minimus and Little Gem, and about the same time as Jenny.
My flowering lawn, which includes these and other miniature narcissus, plus Chionodoxa, Scilla, Tritelia uniflora, grape hyacinths, and other miniature bulbs, is the best bit of garden I ever did. (It no longer has crocuses, because one year there was a gopher.)
It is on the East side of the house, where there was a bluegrass lawn in pretty good shape. So for several years, when I was first here, as early in the fall as bulbs were available, while it was still nice to sit out on the lawn, I'd dig out a weed and stick in a bulb. No need to "gently toss the bulbs to achieve a natural-looking distribution". And for 20 years since then, it's bloomed for more than 4 months every spring.
My more ambitious gardening attempts are long gone, eaten by deer, fat jackrabbits, or blackberries and weeds, but the flowering lawn still blooms every year.