  The cosmological sector to the full non-linear topologically massive gravity
(TMG) is obtained for localized sources of mass $m$ and spin $\sigma$ besides
the asymptotically spinning conical flat sector previously obtained. In a small
region near but outside the sources, the metric resembles the spinning conical
flat metric, but we find that the mass $m$ creates a negative deficit angle of
$3m$ as opposed to $m$. Furthermore, it is not possible to recover the results
of pure Einstein gravity in the limit $\mu \to \infty$ unlike the flat sector.
