As much as Lily wanted to know how Vivian split, Vivian could not control it. She could not pop another 'herself' out of thin air at will. Now, they had to finish what they started, beginning with the building of a substitute control system.
According to Vivian, the First Born on the planet was 'dead' ten thousand years ago after 'the other Vivian' aka Vivian's split swapped out the soul and thinking organ of the First Born with her own, but there was a potential safety hazard. Ten thousand years had passed, the split had become insane and was defeated eventually. When Vivian re-absorbed the split, the First-Born subsystem on which the planet depended for survival lost its core program. The loss of this core program meant that the planet could not keep its thermal balance and natural cycles.
What they needed to do now was to establish a new control system, rebuild the central nervous system of the First Born and take over the 'lullaby' of the ancient souls.