  A doodle is a collection of immersed circles without triple intersections in
the $2$-sphere. It was shown by the second author and P.~Tayler that doodles
induce commutator identities (identities amongst commutators) in a free group.
In this paper we observe this idea more closely by concentrating on doodles
with proper noose systems and elementary commutator identities. In particular
we show that there is a bijection between cobordism classes of colored doodles
and weak equivalence classes of elementary commutator identities.
