Young Wood Pigeon

There is a woman on one of the Facebook pages I am part of that had been looking after a young Wood Pigeon which I think had fallen from its nest.

She posted a video of what looks like a parent feeding it after she had put out the opened cage she had it in but her tree is too high to look for the nest. 

She was going away and left the young Wood Pigeon. 

Will it be ok? Will the parents continue to feed it and will they keep it safe?

I don't know if the link below can be accessed.

Suzanne Talbot