Could be a variation of
Madonna meaning "my lady" in Italian, a name for the Virgin
Mary.
Maybe Madi from the name
Madison, in which the the Mad or Madi part appeas to mean '
Maud' which is a surname.
With the popular prefix 'added to create a new name.
Perhaps some different form of
Madalyn, which is from
Madeline, from Magdelene, from Magdalla, a place Galilee.
Perhaps teh Mada or as I have seen Madilyn, they Madi was taken and added to 'anna' again.
This could very well be a russian variant on any of the above names.
~
Silver