@Sierra02 - Lots of women have Factor V Leiden and go on to have healthy pregnancies. I'm one of them with two very healthy children, ages two and five.
I was on blood thinner injections during both of my pregnancies and was closely monitored. I had to undergo more ultrasounds than what are normally performed during a pregnancy, but my doctor was only checking for blood clotting in the placenta.
I only inherited one copy of the gene from my mother so the tendency for clotting was much lower than if I had had two copies of the gene, one from each parent.