The Red Hood was an invention of Charles Perrault, who tidied up the folk tales of France for popular consumption in the eighteenth century.  Other
changes-- such as the happy ending, are later additions. 
I will tell you an original version. 
A little girl was told to bring bread and milk to her grandmother.  As she was walking through the wood, a wolf came up to her and asked her where she
was going. 
"To grandmother's house."
The wolf ran off and arrived first at the house.  He killed the grandmother, poured her blood into a bottle and sliced her flesh onto a plate.  Then he got
into her nightclothes and waited in te bed. 
Knock.  Knock.  "Come in, my dear."  "I've brought you some bread and milk, grandmother."  "Have something yourself, my darling.  There is meat
and wine in the patry."  The little girl ate what was offered. 
And as she did, a little cat said, "Slut!  To eat the flesh and drink the blood of your grandmother!"  Then the wolf said, "Undress, and get into bed with
me."  "Where shall I put my skirt?"  "Throw it on the fire; you won't need it any more." 
For each ferment, petticoat, bodice, and stockings, the girl asked the same question, and the wolf replied, "Throw it on the fire; You won't need it any
more." 
When the girl got into bed she said, "Grandmother - How hairy you are."  It keeps me warmer, my dear."  "Oh Grandmother, what long nails you have." 
"They are for scratching myself, my dear."
"Oh Grandmother, what big teeth you have."
"They are for eating you, my dear."

And he ate her.