Hints in increasing order of spoilerishness:
Click here to view the secret text
×You need to do the left side before you do the right side.
Click here to view the secret text
×As long as you keep switching sides with each move, the babies won't leave the far columns, right?
Click here to view the secret text
×The problem you have on the left is that the area you have to work with is much shorter. How can you make it longer?
Click here to view the secret text
×You need to get to the orb in the middle of the room. It's possible to do this without letting either baby leave its column.
Click here to view the secret text
×Take the tunnels all the way to the left of the room. See how they converge on the center row?
I think that ought to be enough...
____________________________
"
Rings and knots of joy and grief, all interlaced and locking."
--William Buck