Elizabeth Martin was adopted by Henry Martin and his family in November 1893. They lived in Little Rock. She married Doty when she was older (I don't have a date though), and they adopted Claire Doty (b. 1915?) and I'm pretty sure they still lived in Arkansas because I have a record that their daughter, Claire, died in Helena, Arkansas.
I think that the Martin family who adopted Elizabeth also had a biological son named Henry Martin, so it might be the same Martin family that you know.
I hope this clears up any confusion.