When it asks for "other names", it means alternate names/aliases, not middle names. If you want to include your middle name, put it with your first name. Else you risk complications when you reach the questions asking if you've ever been known by any other name later on, and on the ILR app, and you say 'no', when they have this on record. 
Well, I have been known by my maiden name (years and years ago now...man, I feel old, LOL), and, then, of course, I was known by the lousy name my ex-husband conferred upon me. Should I list these because they will be able to see by my birth certificate, my divorce decree, the lease agreement, and the original name on my passport (although I have had that ammended while here...but, as everyone knows it still has the name that I got the passport in, it just carries an official stamp from the US embassy now that says this passport was ammended to change the bearer's name, ect") that I have, indeed, been known before by other names? I figure they are smart enough to figure this out. Perhaps I am just making too big of deal about it, but I am just so torn up and terrified that I will do something wrong and not get it that I want to make sure I do EVERYTHING right.
I'm such a mess right now...I can't stop crying. :\\\'( Hmmm....something not quite as effective about a pumpkin crying instead of a face. I know that somehow it will all work out but right now I can't see it. I'm just so scared that they won't let me back here. I'm having trouble sleeping, like I said, I cry all the time...I'm a total mess. But, anyway....I guess I should really get a grip...being upset isn't going to help me get the visa, is it? But, anyway...u'm, back to the question. Should I list my maiden and previous married name where it asks for "other names"? Or should I just leave the thing blank?
In turmoil,
~Autumn