Answer:
My first is a heir; My second's a snare; my whole is the offspring of fancy; which I sent out of play upon Valentine's day As a token of love to my Nancy.
I pass before the sun but make no shadow. What am I?
What is cut on a table but is never eaten?
I shrink smaller every time I take a bath. What am I?
You throw away my outside you cook my inside. Then you eat my outside and you throw away my inside.
What scientists might call your pooch.