Okies so testing done. I removed the footprint from a toddler bed we have in game. I placed the invisible crib over it and told mum to put the infant to bed
https://i.imgur.com/iHJCGqz.png
it worked, but the infant was not at the pillow end, more down to the center. So I know I can't move the crib since the infant is not an object like the newborns, so I tried moving the actual toddler bed since it has no footprint and it worked.
https://i.imgur.com/X69DJ8c.png
Now the question remains, this does not actually work unless you use a object without a footprint to place the invisible crib over, so would you want me to upload it for you @Bluelle and @Babykittyjade ?