PenitentWoman,
Welcome to the forum. I really do hope you feel welcome here -- there are many Catholics on the right path here, who will genuinely try to help you.
My advice first of all is to remember that any forum this size is NOT going to be a big lump of good OR evil. When you have hundreds of members, you're going to have some good and bad fish in the mix -- and a lot of in-between. I'd like to think they're mostly good -- but don't be scandalized or depressed if you meet a "bad" one.
Regarding your situation --
Many other members have already given you good advice, but I would add that God even uses our SINS to our advantage, when we confess them and do penance for them.
"All things conspire unto good, for them that love the Lord."
Your situation is obviously difficult; it's not a situation anyone would WANT to be in. Nevertheless, it's not hopeless either.
I would recommend that you turn your situation into a motivation to grow spiritually. As someone pointed out (and got 2 thumbs-down for saying), there are certain realities that must be dealt with by any future spouse -- for example, a constant reminder that you were with another man first. A reminder for YOU as well as for him. And unlike with the case of marrying a widow, in your case the child's father is still alive, "out there somewhere".
BUT if you became, like your username, a "Penitent Woman", a Mary Magdalene, you could end up more faithful than many other women who haven't fallen, but MIGHT in the future. There are indeed men and women who marry as virgins but later on fall into adultery for a host of reasons -- and yes, this includes the Trad world.
I also recommend that you leave the Novus Ordo and move to a place closer to a Traditional Mass. You're right -- Novus Ordo Catholic men aren't going to be manly enough to let you stay home. They are thoroughly filled with the spirit and teachings of the world, including feminism. The Novus Ordo Mass itself is much more feminine, so any men that stick around are going to be SOMEWHAT feminine just by the fact that he's willing to endure it. The real men leave when they're about 16 to 18 years old. And the Novus Ordo makes NO attempt to make its members stand out from the Modern World. They will think that you should work, and should WANT to work. A Novus Ordo Catholic is unfortunately no different than any random modern person on the street, sad to say.
It sounds like you don't have a "career" type job now anyhow -- you mentioned not earning much at each job. If you moved to the right location (with jobs available for someone with your qualifications), you could end up near a Traditional Mass. And at such a locale you could indeed meet someone who would let you stay home with the kids, etc.
But plenty of men realize that a truly penitent Mary Magdalene is less of a liability than a feminist-leaning Catholic that attends the Traditional Latin Mass every Sunday.
God has created millions of people each with a unique situation -- there is someone out there for you, if God wills that you be married. And you can't exactly assume otherwise at this point -- you have a child. So you can cross off "the religious life" from your potential vocations list. And you're right -- a child needs a father.
But the advice for single men and women is the same -- trust in God, focus on improving your spiritual life so that you're a better and better "catch". Some men will cross you off their list, while others will give you more attention.
Especially since, as you describe in your post, your situation isn't exactly "typical" of a single mother.
Another thing -- Traditional men are attracted by different things than modern men -- at least what they're "supposedly attracted to", as portrayed by the modern media. A feminine young lady in a long skirt wearing a veil is precisely what guys like me (married men) have to guard ourselves against -- we don't have to put up much effort to keep ourselves from being attracted to trashy or worldly women.
P.S. I enabled your account so you can receive Private Messages early -- normally there's a waiting period on this forum for that privilege (to prevent spammers).