I only use "littles" in one context: sports coaching. This is because the children prefer it to their sport's technical term for under-6 athletes, which is Tots. They HATE being called Tots. DS is a skater, and it is common for teen skaters to gain some work experience helping to coach "the littles."
"Shaming" however, is a completely legitimate word that has existed for centuries. Didn't you read The Scarlet Letter? Being required to wear that "A" was an act of public shaming. Hester Prynne was not being made fun of or mocked, she was being shamed. Having to stand in the public stocks was the same sort of punishment, as is having your face plastered all over the web under the title "Pedophile" or "Batterer." The purpose of public shaming is not merely to make the person being punished feel bad, such as mocking might. The purpose of public shaming is to make that person a pariah; to force them out of society and to make a public example of them so as to dissuade other people from committing the same sins or crimes. Unlike simply being made fun of, public shaming is deadly serious, and it swiftly ruins lives.