> It looks like avoiding ghee is a requirement, though
>
> >Ghee is not dairy-free. It is lactose-free.

If I understand correctly, completely pure ghee would be free of milk
proteins and lactose, as it is only the fat from the milk.  In practice
there are probably some stray proteins floating around, which would make
it unsafe for the severely allergic, but it may be a viable option for
people not quite so sensitive.

--Robyn (not a doctor or an expert in this area; please check with yours
before trying anything which could be dangerous for you or your kids!)