Giving up on relationships..

It all just feels hopeless. I'm 20, with a one year old and sick of being alone. Things with her dad wouldn't work, he cheated when I was pregnant and when I asked him to come back he "didn't even want me." All my friends and people around me are happy in relationships with their children, and it just sucks. I work 55+ hours a week, take care of my child and that's it. Other than that I'm alone. There's nobody I come home to that is my age to ask "how was your day?" I feel so down when I see people I know living a happy life with their relationships and I've been alone for 2 years. I feel unwanted and unloved. I've tried meeting new people and it just doesn't work, I've got bad anxiety so I can barely even approach people. Should I just give up on finding a relationship? I really don't think I'm ever going to be loved, or with someone who actually wants to be with me and my child.