Above 'Lucy's' head I see the mysterious Babuska Lady ... In the photo of the Pope alone, she is by his nose.
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Good eye! In the second photo her face is overexposed and looking whiter, like the rest of the photo. She appears to have moved a bit upwards, and to the right around 5 feet, using the TV camera's position as a benchmark. In the second photo you can only see the top left corner of the TV camera, since the fake Lucy was overdubbed to cover most of the TV camera's frontal aspect.
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If you look carefully you can see several identical faces in the crowd in the two photos.
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All considered, either Paul VI was moving forward, either walking or on a moving platform, or else the camera was moving to the left, or perhaps BOTH, because the position of the TV camera to his left and the columns of the building behind it are things that would not have been moving, yet they are in two different positions.
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The image on top (without so-called Lucy) might have occurred first, then the camera would have moved to the right and upward a few feet, then the second photo would have been taken. The TV camera in the background having remained still, appears to have moved 6" to the right and 3" up compared to Paul VI. That means the camera taking these pictures would have moved to the right a foot or two (being a further distance away from Paul VI than the TV camera is behind him) and upwards about one foot. Notice how the angle of view in the second photo is slightly more looking downward than the first one was (first one is at eye level of Paul VI). This also explains why the crowd in the background appears to be higher in the second photo, because Paul VI is lower, and the camera has been angled downward to keep Paul VI in the center of the frame.
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There are several people to notice. A balding man with glasses to the right of the TV camera is clapping with his hands in two different phases of a clap in the first and second photo, plus, and because of this you might not recognize him, in the first photo his mouth is closed but in the second photo, it is open, so he would have been saying something out loud, pronouncing a "p" or "b" or "m" which require the closed lip position. The second photo is more overexposed than the first so this man appears to be in brighter light with whiter highlights on his nose, forehead, cheeks, chin and fingers. Notice too, to his left, another man looking downward is seen, the front of his face only, but in the second photo his nose is covered by the back of the head of the next man with dark hair.
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The dark-haired man in black jacket in the first photo turning to his left side directly behind Paul VI's left hand is also in the second photo, but all you can see is the back of his right shoulder, as his head is cropped off the photo on the right.
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In the event the source site deletes this set of photos, I've put them into the archives here for future reference.