Do Broken Families Stay Broken? A single mother and her two children are living life just fine but is any man?

[Jenny L]

out there that is really worth it (whether he has children of his own or not) gonna ever go for this type of women? Do men generally prefer childless women? I wonder if this woman will have to stay alone until her children grow up. And if you're all wondering... I speak of myself and for the others in my situation. Mature answers only please. These are just my thoughts.
Thanks to you three wonderful girls I now have some hope!!!