How does Peter react to Jane's baby in the book Peter Pan?

From the text:

But he supposed she was; and he took a step towards the sleeping child with his dagger upraised. Of course he did not strike. He sat down on the floor instead and sobbed.

Peter wanted to take Jane to Neverland to do his spring cleaning.

“Peter,” she said, faltering, “are you expecting me to fly away with you?”
“Of course; that is why I have come.” He added a little sternly, “Have you forgotten that this is spring cleaning time?”