to write, carve, or etch words onto something's surface — as in "The names of the major donors will be inscribed on the front wall."
to write a signed message and/or signature — as in "She inscribed the book with the message: I know this story will speak to your heart. Love Emma"
to write down something when adding it to a list — as in "Their names were inscribed in the register of at Ellis Island."
If he fell or jumped and couldn't finally swim to safety, they would find these things: a watch with his father's name inscribed on the back, his wallet with $200 in cash, his driver's license, a pebble from the stream near his childhood home that he had carried with him for thirty years.
There are no more uses of "inscribe" in The Memory Keeper’s Daughter.