Ditto if I saw someone do that to another ladies baby who's husband or bloke wasn't present I can assure you I'd be stepping in to assist pretty forcefully.
Without fail I will see either rather orange women, or Powerfully built types in Range Rover's, X1/3/5's or other premium marques holding their phone's
Second one is correct. The apostrophe shows possession, except in the word its, when it is used to show contraction (If I have used my terms correctly! )