Was she definitely pregnant and not bloated? Platies are very greedy and eat everything and become huge-then skinny again a few days later.
She could have aborted with stress of moving her depending what size the birthing tank is.
I bet they are hiding! Do you have plants and rocks/wood in the birthing tank? Could just be hiding. I find platy fry to be smaller than guppy fry and very well hidden, whereas guppy fry are out in the open a lot.
When I first started this hobby 2 years ago, I had platies. I was convinced one was pregnant as she was huge and i've never seen one this size before, a few days later she was skinny. No fry-until a few weeks later when they were big and started coming out of the hiding places! I didn't even know!
My 64L tank has a platy, 2 male, 2 female guppies and about 15 fry. A few days ago I found the tiniest little fry. There was a male platy in the tank for 4 weeks, he died recently. The female didn't appear to be pregnant but it must be a platy fry because it was so well hidden until I moved the wood about.
He's now in the 30L and I can never find him he's so small.