Yeah, They're Off to See the Wizard...but What Else?

In The Wizard of Oz, Dorothy makes it very clear where she's going - she's "off to see the wizard."  But why was she really going there?
The Quester: Dorothy, Toto, the Scarecrow, the Tin Man, and the Cowardly Lion
A Place to Go: The Emerald City, to see the Wizard
A Stated Reason to Go There: So Dorothy can get home
Challenges and Trials en Route:  The antagonist of the story is The Wicked Witch.  Dorothy has the Witch's sister's shoes, and she wants them back.  So she flies around Dorothy, throwing fireballs at the Scarecrow.  She sets flying monkeys on Dorothy, trapping her in a dungeon-type room.  She makes them walk through a field off poppies that put them to sleep.  And there are also the creepy trees that throw apples at Dorothy.  It's really a miracle she makes it to the Wizard.  And then, once she's there, he just makes her go face the Witch again to get her broom. It's a bit unfair.
A Real Reason to Go There: So Dorothy can discover that "there's no place like home."  Her whole life, she had dreamed of leaving the farm, of going "over the rainbow."  Then when she did actually get there (dream or not), she had an awful time for the most part and just missed Auntie Em and wanted to go home.