Is it true that you...?

Not, it's not true. I'm sure it happens occasionally, but it would be a FLUKE, not the normal way of things.

Usually ovulation happens about two weeks before the next menstrual cycle, give or take a few days in either direction.

That's all nonsense. When you ovulate has nothing to do with your period. This is not a "chicken or egg" kind of question where you can't decide what comes first. Ovulation comes first, and it has no real relationship at all to when your last period was. Ovulation comes at a different time for different women, and it can even come at a different time in different cycles for the same woman. The only thing that is sure and known is that if you do NOT get pregnant, your period will arrive about two weeks (12 to 16 days) after ovulation. So when you get your period, you can count backward and guess that you probably ovulated 12 to 16 days before that.

There are more sure ways to find out when you personally ovulate. Check out the website below (there are tutorials, and the basic version is free), and/or get the book "Taking Charge of Your Fertility," by Toni Weschler.

Good luck!

No, you don't normally ovulate two days after your period. It's two WEEKS after. You are least likely to get pregnant within a week of your period ending.