Lazarus had already talked to the woman who called him thinking he had seen Liam, but when he went to it he mistakenly showed the boy to the man. The two have a resemblance so the woman may have been confused, Lazarus chose to just leave after those moments.
(He recalls the moments he had with Liam)
Casey,
By the time you read this letter, I am assured that your mother and I were dead. We can no longer embrace and commiserate with you when you are upset or frustrated, and I believe that is the worst period. We don't want you to think we abandoned you; perhaps that was fate's plan all along, my daughter.
