Maureen Stapleton tells a story about Elvis in Elaine Dundy's book "Elvis and Gladys", page 246:
"In the beginning of August, 1956, at a Fox sound studio in a room full of aspirants waiting to do their screen tests, Maureen Stapleton, in Hollywood for the first time and for the same reason, was waiting with her four-year-old son, Danny. "Elvis was there, too" she recalls. "He must have been going to record "Love me tender". It was around that date. Anyway, he had his guitar. I was doubled over, gripping my stomach with an attack of nerves. Suddenly there he was bending over me asking: "Is there anything wrong, ma'am?" I said I was going to take a screen test and couldn't get my stomach to stop churning. And if I wasn't surprised enough already, he said: "I feel that way every day of my life, ma'am." Then they called him in to do his song. My turn was next. When he came out, instead of leaving he came up to me and said: "Don't worry about your kid, ma'am, I'll sit with him and look after him. Go on now. Don't worry. He'll be all right with me, ma'am." I couldn't believe it. There had to be dozens of other people in the room still waiting who could have looked after Danny. When I came out of my test, there they were, the two of them. Danny was totally absorbed. Elvis was showing him how to play his guitar." When Maureen thanked Elvis, he said: "That's all right, ma'am, and good luck, ma'am" Then he went to the door and opened it. The roar from the fans outside came rolling into the room, shaking the rafters. Elvis turned to Maureen, smiled and said again: "Good luck, ma'am." And went out into the din."
Maureen Stapleton on Wiki:
https://en.wikipedia.org/wiki/Maureen_Stapleton