It's possible that she may react to soy. Many babies with a milk protein intolerance are also intolerant to soy protein.
For the longest time we thought our family was lactose-intolerant and it took us ages to work out that it was the milk protein we were reacting to - not an allergy, bu can't digest it. To this day when we have straight cows' milk products (except for yogurt, which seems to be OK with our family), we have tons of wind and tummy-aches.
Might not hurt to consider milk protein (casein) intolerance as opposed to lactose.