A very short time later she returned to find Hannah had drowned in the deep end of the pool.
Justice Miller said Illston had left the pool only briefly, with the intention of bringing her baby back at once.
She was also "exhausted and overwhelmed", having just had a newborn and had recently lost her mother to cancer.
Justice Miller said water was "notoriously dangerous" and children needed supervision.
"Your lack of care has had a terrible consequence, as you know better than anyone. You also knew that Hannah could not swim and had fallen into the pool the previous day."
In granting a discharge without conviction, he noted that his decision was based primarily on the impact a conviction would have on Illston's family.
He said he was aware of no other case in which a discharge without conviction was granted for manslaughter in New Zealand.
Manslaughter covered "a vast range of wrongdoing" and Illston's departure from the expected standard of care was at the lower end of the scale.