Page 46
"To the barber! Belts and shoes in hand, I let myself be dragged off to the barbers . They took our hair off with clippers, and shaved off all the hair on our bodies."
The entire story is a dream sequence after the main characters eat some berries if I’m not mistaken. The play happening in the summer months make the storyline a complete midsummer nights dream
Strictly speaking, the One Ring does not make the wearer invisible. ... When others wear it, they become 'invisible' to those around them, because they have become visible to Sauron, in a way. If he is looking in that direction, then he would see them. Hence why Gollum got away with it for so long, and Bilbo and Frodo. hope
it helps.