"Day's eye" is Old English for the daisy flower --- also a birth flower of April along with the sweet pea. I can see the reason for the name. The daisy is a flower with petals like rays arranged around a bright yellow disk -- its eye -- poised to receive the sun's rays. Incidentally, the buds only open at dawn as if to herald a new day. A bunch speak of new beginnings.
Speaking of new beginnings, there comes a point when we find (like Dorothy in The Wizard of Oz) that we are "not in Kansas anymore." That feeling of being in new territory, something alien to us, out of our comfort zones, hurled into the unknown. It is always an opportunity to make good once again...make good this time.