Well, i do not understand why they would say that. I mean, you either have one/some or you don't. What the hell is the big deal? I guess they are scared that they "believe" every dude will run if they have a kid (which some might) but not all. I have ran into this myself on POF and in real life, and if they cannot answer a simple question like that, Fuck em".
I always say, "So, that is a no." And you will generally hear a long story about how the ex-husband/B/F left them due to the child/children. It's not our fault that they fucked a dude and he left or wants nothing to do with the woman.
Let's say if i hear something like, "Ohh, well it just did not work out." See - this is what i can accept. Now, when i hear something like, "Ohh good, he was a asshole/Douche/Dumbass,..etc. I know she is telling me a story and i know why dude left. Good for him. I hope he takes care of the kid though, ya know.
Too many women just expect "Men to be perfect"
that is when you tell them to go watch a Disney movies and watch the perfect story book ending. 
I mean, you are on P.O.F. or in a Bar/Club and you expect to meet Mr. Right. 
That is the shit that really irritates the fuck out of me. The women on P.O.F believe that they are "entitled" to that perfect ending. 
Fuck that. 
Dear lord that is so true. I am going to be approaching this POF thing a whole different way now. I have met my breaking point with women. Just like you, I am of the opinion "Just answer the fucking question". They are obviously trying to land someone...but they know that they got themselves in a situation that they realize now limits their options. I look at those women that, if given a choice...like "ok, you could abandon your kids and be with a man who makes a shit ton of money....or you could be with a man who makes $60K/yr and loves you and your kids and you will have to keep working.....which do you choose". I would say that the "prefer not to answer" ones who run as fast as they could away from the kids.
The whole "it wasn't my fault", "I did the best I could", "I tried for years to keep us together"...blah blah blah...you weren't a saint....face it. Sometimes you will get this...
Woman who has 2 kids...one 3, the other 6.....looking for "mr. right, not mr. right now....not looking for drama...happy with who I am...and living life to the fullest"...is something they keep telling themselves in hopes that they will believe it eventually

Me : So, how long were you having problems in the marriage?
Her: We had been having issues for the last 4 - 5 years. He cheated on me a lot. He verbally abused me and was always disrespectful
Me : So, let me ask...why didnt you leave
Her: I did....thats why I listed divorced
Me: No, why didnt you do the best thing for your own self respect and leave before having another kid
Her: I love my kids
Me : I never said you dont, I am asking if it was so bad, why didnt you leave before popping out another kid
Her: You are rude
Me : No, its a legit question...you just like to paint the 'victim' picture to any who will listen and get smoke blown up your ass saying how you are so right...and you deserved better.