For me, what you are describing is a really close female friend, who cares about you, understands and is interested in the details of your life and your children's lives, and is going through or has gone through some of the same things you are coping with.
I have one close friend, and we talk on the phone almost every day but rarely see each other, because we live in different countries. Even though I have a wonderful husband, my friend is the person who really understands my feelings and reactions best, the person who will talk to me for hours about my worries and my interests.
Relationships with men try to jump to this level of understanding very quickly, through the shortcut to intimacy which sex gives to people. So often, the sex is just an illusion of intimacy though, and leads to a feeling of loneliness because it is not based on real closeness.
I think that you might find more comfort in a couple of close female friends, perhaps single mothers like yourself, or people at a different stage of life, but who just happen to understand.