Confusion

So Emma and I were sitting at the table the other day having lunch. Actually I had finished eating and Emma was still slowly working her way through the meal. I took the opportunity to plan out the cross-stitch words for my latest project. Steve's godson, Zachary Paul, will be one year in August so I hope to have the announcement done before then!
Anyway, I was talking out loud to myself about which name I wanted to pencil in first, Zachary or Paul. Emma hardly misses a thing and this was no exception. "What did you say?" she asked.
"I am putting the names onto my chart so I will be able to stitch them on the fabric."
"Whose name?"
"Zachary."
"Zachary lives with Aunt Darcy, Uncle Steve, Madison and Jared."
"That's right, Emma."
"Why did you say Paul?"
"Paul is Zachary's middle name."
(Blank stare) Then Emma asks, "you mean the Paul that lives with Aunt Lauren?"
"No, Emma." :) I continued to explain that her middle name is Katherine, her first name is Emma and her whole name is Emma Katherine V-. I continued, "Zachary's first name is Zachary, his middle name is Paul and his last name is K-. Zachary Paul K-."
Emma replies, "That is really confusing, but OK."