Lula, the tooka doll, belonged to Wrecker. As Clone Force 99 made their escape from Kamino in 19 BBY, Wrecker looked all over for Lula after the Empire had taken the doll. Omega located the doll shortly after and gave it back to Wrecker. Sometime later, Wrecker drifted off to sleep with the doll while Clone Force 99 traveled to Saleucami.
Subsequently, Wrecker constructed a room aboard the Marauder for Omega and placed Lula upon her bed.