Thanks to all of you who posted a comment, sent and email, called or skyped your answers. But, only one person was correct! Thanks, B!!
Yes, this is how Egyptians say and write Madison's name. This paper is from her pre-school (called a Hadonna here). Everytime we have seen her name written by an Egyptian, they write it just like this. We even had one man tell us that her name was what they call the school for doctors here. (I guess he doesn't know that medicine is an English word!)
We now have written her name properly and given it to her teacher. Hopefully she will grow up and know how to spell her name in English and Arabic!
Here's Madison getting ready to go to a ballet lesson. I think with that belly she might take up belly dancing instead!