[Verizon Samsung Galaxy S III] KrzysztofGW:
Output for mount

root@android:/ # mount
rootfs on / type rootfs (ro,noatime)
tmpfs on /dev type tmpfs (rw,nosuid,noatime,mode=755)
devpts on /dev/pts type devpts (rw,noatime,mode=600)
none on /dev/cpuctl type cgroup (rw,relatime,cpu)
proc on /proc type proc (rw,noatime)
sysfs on /sys type sysfs (rw,noatime)
/sys/kernel/debug on /sys/kernel/debug type debugfs (rw,noatime)
none on /acct type cgroup (rw,relatime,cpuacct)
tmpfs on /mnt/secure type tmpfs (rw,noatime,mode=700)
tmpfs on /mnt/asec type tmpfs (rw,noatime,mode=755,gid=1000)
/dev/block/dm-0 on /mnt/asec/com.speedsoftware.rootexplorer-1 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
/dev/block/dm-1 on /mnt/asec/com.asksven.betterbatterystats-1 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
/dev/block/dm-2 on /mnt/asec/pl.solidexplorer.unlocker-1 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
/dev/block/dm-3 on /mnt/asec/com.anddoes.launcher.pro-1 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
/dev/block/dm-4 on /mnt/asec/com.anddoes.fancywidgets.unlocker-1 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
/dev/block/dm-5 on /mnt/asec/com.wolfram.android.alpha-2 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
/dev/block/dm-6 on /mnt/asec/com.flavionet.android.camera.pro-1 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
/dev/block/dm-7 on /mnt/asec/com.endomondo.android.pro-1 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
/dev/block/dm-8 on /mnt/asec/com.maxmpz.audioplayer.unlock-1 type ext4 (ro,dirsync,nosuid,nodev,noatime,barrier=1)
tmpfs on /mnt/obb type tmpfs (rw,noatime,mode=755,gid=1000)
tmpfs on /mnt/fuse type tmpfs (rw,noatime,mode=775,gid=1000)
/dev/block/mmcblk0p13 on /system type ext4 (ro,noatime,commit=1,barrier=0,data=ordered,noauto_da_alloc,discard)
/dev/block/mmcblk0p3 on /efs type ext4 (rw,nosuid,nodev,noatime,barrier=1,journal_async_commit,data=ordered)
/dev/block/mmcblk0p12 on /cache type ext4 (rw,nosuid,nodev,noatime,errors=panic,commit=1,barrier=0,journal_async_commit,data=ordered)
/dev/block/mmcblk0p16 on /data type ext4 (rw,nosuid,nodev,noatime,commit=1,barrier=0,journal_async_commit,data=ordered,noauto_da_alloc,discard)
/dev/fuse on /mnt/shell/emulated type fuse (rw,nosuid,nodev,noatime,user_id=1023,group_id=1023,default_permissions,allow_other)
tmpfs on /storage/emulated type tmpfs (rw,nosuid,nodev,relatime,mode=050,gid=1028)
/dev/block/mmcblk1p1 on /storage/sdcard1 type ext4 (rw,nosuid,nodev,noatime,barrier=1,data=ordered)
/dev/fuse on /storage/emulated/0 type fuse (rw,nosuid,nodev,noatime,user_id=1023,group_id=1023,default_permissions,allow_other)
/dev/fuse on /storage/emulated/0/Android/obb type fuse (rw,nosuid,nodev,noatime,user_id=1023,group_id=1023,default_permissions,allow_other)
/dev/fuse on /storage/emulated/legacy type fuse (rw,nosuid,nodev,noatime,user_id=1023,group_id=1023,default_permissions,allow_other)
/dev/fuse on /storage/emulated/legacy/Android/obb type fuse (rw,nosuid,nodev,noatime,user_id=1023,group_id=1023,default_permissions,allow_other)

There is sth strange with fixing permissions:

root@android:/ # find /storage/sdcard1/ -print0 | xargs -0 chown media_rw:media_rw
chown: unknown user/group media_rw:media_rw