Lizards that give birth to live young
are referred to as being ovoviviparous,
and this type of reproduction is called ovoviviparity.
The embryo of most lizards develop inside an egg once
laid, but in live bearing lizards the embryo development
takes place inside the mothers body. The embryo is still
covered by a very thin skinned egg.
The young lizards hatch almost immediately
after being born, and have been observed hatching from
the egg before and during birth. The lizard young are
in danger from the parent right away, as some adult
lizards will eat their young.
You should separate the newly born lizards
from their parents, and place them in a small terrarium.