Hi, from what I understood from this research http://humrep.oxfordjournals.org/content/15/4/752.full , you ovulate from left and right sides, but it doesn't necessarily alternates every cycles. They followed a large group of women for 4 cycles and for some of them it alternates right left right left as for others it's left left right left etc... In anyway my guess is that it is totally random!
Good luck with everything!
i am not sure about this. I wish i could help.