Thank you Bob, I didn't know about center tap technique.
Now I'll be looking for the smallest transformer I can find on digikey.
Hi
There are some nasty issues in driving the two FET's. If they both are on at the same time, you short out the transformer. If they both are off at the same time, you get an inductive spike on the secondary. How big a spike you get depends a bit on the load on the primary. Making things even more confusing, you are using the transformer backwards. Most stuff you see about this approach will call the low voltage winding the primary
So: When you fire it up and test it -- put a resistor on the high voltage winding to simulate a load. Yes that's a bit strange. Most circuits get tested with no load and only are loaded once they are known to work ... With a 10 ma 120V load and thus a 1.2W power level, load it ...
Bob