So here is a random/interesting site http://www.boingboing.net/2005/04/15/amazing-unrealized-r.html

And a less random/also interesting site http://clover.slavic.pitt.edu/~tales/images.html

What baba yaga wants, I think, changes according to who she is dealing with. In fact, every aspect of her character is very dependent on the person encountering her. So maybe she is identified by those who visit her home, but seeing as they never know much about her, what does that even mean?

I think you guys nailed the chicken house relationship. It seems very much to be an old companion with which she has developed no small amount of codependency.

The play, to me, contains the house - which contains sort of a mess with order, in which only certain things can be found by anyone but the person who understands the mess, an exterior of woods which have their own ominous presence, and the space between where many of the magical occurrences... occur. The sounds of a busy home dominate, always something cooking or boiling or creaking or sweeping or crowing or cackles from no discernible source human or otherwise. Silence should be terrifying.

Stucture? Ugh. What does that even mean.