Riddles

Riddles - A chicken -
Mouther, Further too and fro,
I am sitting egg not through.
Who is this one? Nor a Queen,
Nor a King Is a little I mean?

Riddles - A squirrel -
Little home at oak I made.
Nuts, nor acorns I those had.
Who is this one, nuts was need?
Is a squirrel it?