Answer:
I carry you down a gentle stream.
I plow and plow but never sow.
I will disappear every time you say my name. What am I?
You get embarrassed when you stand on me when everybody is watching. Women don't like to talk about the number they see on me. Everyone stands on me when nobody is around
You throw away my outside, you cook my inside. Then you eat my outside and you throw away my inside. What am I?
Though not a plant, has leaves. Though not a beast, has spine. Though many wouldn't need this thing, It's more valuable than wine.