I was 34 when I met my husband, 36 with one dc between us when we married, and now we have another and have been married 7 years.
I felt a lot like you did, I came out of a 10 year relationship before I met DH, and thought that was it for me, on the marriage and kids front. I decided to focus on me and what was important to me, so I travelled some, focused on building up my career, and went back to university via the OU, something I had always wanted to do. I met DH along the way and when I found him I was in a much happier place with myself than I ever was with my ex.
Also, because of all that focus on me and my needs, when I met DH I had a much better idea of what I wanted in life, and what kind of person I wanted to share my life with. So when I found DH, I was a lot more decisive about him being the right one for me once I got to know him well enough.
Don't give up, but try not to worry so much about meeting that right person, and focus more on making your life the one you want it to be, make yourself the happiest and most confident you can be in your life and your choices. That is the best advice I can offer.