Also, I was just talking to my mom and asked her about this, and she told me that while it was a pretty scandalous thing, Anna was also living with William B. and Mourning and he was err.. going back and forth between the two. I know that's gross, but I guess it's pretty common knowledge. She said she read about it in the Chassereau family history, who we are related to as well.
So, when Mourning passed away and he finally married Anna, the boys (Redden and Malachi) took the Denmark name as it was common knowledge that the two boys were his.
I'm going to try to find out more if I can connect with Dean Iler Denmark, our last living relative in Leefield where my grandfather grew up.