There is definitely hope (as you can see from everyone else!)
After my 3rd baby, I went on the mini pill. I came off after about a year, i never had any periods. I put on lots of weight despite never doing anything different.
Eventually I went to the doctors about it, and after a while, blood tests, scans etc I was diagnosed with PCOS.
I was told at the time that conceiving again naturally would be unlikely as I was fairly badly affected - but at the time I wasn't worried. I felt blessed that I had had my dc young. I went away, but in the circs dh and I weren't very careful. I did lose 2 and a half stone, which I think was key. Ds3 was born 3 days before ds2 started full time school! 
because I had had the first 3 fairly closely together, we decided we didn't want ds3 to be lonely, and knowing that the PCOS had disappeared ( they had checked for signs of it at my 12 wk scan and found nothing) and also that your fertility is raised just after a pregnancy we decided to let nature take it's course - and (rather quicker than we thought!) dd2 was born 15 months later.
I was advised at the time that PCOS returns in about 30% of cases.
Sure enough, after approx 3 years it was back with a vengeance.
Again, we were a bit complacent about contraception (i know, i know....) and now we are waiting for baby number 6, due in just over 4 weeks 