Okay, talking about pupa gave me an idea. I saw two moths yesterday and BAMONA identified them for me this morning. There was one I saw a ton of on my neighbor's property and they were quite large. It's called a Small Mocis (Mocis latipes). It mostly eats grasses and things like corn so that wasn't much help.
But I saw a smaller moth on my house so I looked up its host plant, too. It's called a Two-spotted Herpetogramma (Herpetogramma bipunctalis). And Wikipedia says it uses Alligator Flag (Alternanthera philoxeroides) as a host plant. Hmm...the plot thickens?
I'm going to do some research and see if there's something I can do or take a picture of to help distinguish. Like I just read Alligator Flag has hollow stems so I'll break a stem and see what's up.