Ted's Gift

Mild spoilers ahoy. . . . . . I've seen a couple of people wondering what it was Ted left behind when he visited Doris. What would you use while crying that would have your initials on it? A handkerchief, presumably. I think the real questions are: 1. How/why did Ted leave it behind? 2. Why did Doris refrain from identifying it? 3. What is Ted's full name, and does it have any significance? I have nothing to venture regarding 1 or 2, but I think Mr. (or Mrs. Gwern's not really helping me out re: gender) Branwen is on to something regarding 3: T for Ted, G for Griffin, and A for "Ambrosius. As in, the supposed usurper of Goldwurm. Perhaps Ted pulled a Bax, if you will . . ."