lol!!! I'm not sure what that plant is, but it's definitely not day lilies.
but I have a question: is that a glazed pot (shiny finish)? if so, that might be part of your brown thumb problem. I kill plants in glazed pots because I tend to overwater them (that's why I had to take less care of my pots). water can't seep out of a clay pot, so it sits in there longer (which can cause the plant to rot).
It's actually a plastic pot and has a drain in the bottom. I did not follow directions though and did not put a layer of rocks in the bottom before I put potting soil in there. Hopefully I will remember next time I plant something in a pot.