A mother's protection is against all ill intent.
Dumbledore regarded the infant in the hospital wing with satisfaction. The ritual he had suggested to Lily Evans Potter had worked just fine. Her magic had protected her son and bounced back on Tom Riddle. He wondered if the protection would last long enough to harm Tom another time. Well, if the boy went to Petunia Dursley who was bound to be resentful enough to see that he grew up humble, he would be willing to be a sacrifice, and if he survived the experience through his mother's magic, then it would make him even more grateful. Unlike the Evans girl, who had performed two useful services by dying, one in making a weapon against Riddle and two in removing herself and her too-clever interference in the way of the Wizarding World.
"Mumma!" Harry yelled. His mother did not, of course come, and magic rolled off him, shaking everything in the hospital ward.
This would never do, a child able to call on that much power would never grow up humble, his accidental magic would make the muggles fear him enough not to punish him for it. Albus raised his wand to bind the child's magic.
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An hour later, Poppy Pomfrey had to call the hospital elves to put Albus into a bed, having found him unconscious, and deal with the fever the baby had cried himself into, his sheer fury causing the wound on his head to burst open and vile black stuff to ooze out.
Poppy saw to the child first; such was her healer's nature, cleaning out the unpleasant blackness, and healing the wound to a nice pink bit of scar tissue. Then she turned to do diagnostics on Albus.
She repeated her tests.
It looked like a magical binding which had burned itself out along with his magic. Albus Dumbledore was a squib.
Poppy knew her duty.
This was something which could drive a wizard insane; she contacted St Mungo's for Albus to be taken into a secure ward in the Janus Thickey ward section. Squibs were not willingly treated by the magical hospital, but they would surely be more sympathetic for a once great man like Albus Dumbledore.
Meantime, the child needed someone to care for him. His name was Harry, Dumbledore had said. Oh well, if nobody claimed him, Poppy had always wanted children.
Harry Pomfrey was a good name.
