Code:
# CONFIG_FIREWIRE is not set
This says it all. Knoppix 6.4.4 has no firewire support and I've little reason to suppose earlier Knoppix 6 versions so either.
In the file /boot/config-2.6.36.1 of Knoppix V6.4.3 you can read
#
# IEEE 1394 (FireWire) support
#

#
# You can enable one or both FireWire driver stacks.
#

#
# The newer stack is recommended.
#
# CONFIG_FIREWIRE is not set
CONFIG_IEEE1394=m
CONFIG_IEEE1394_OHCI1394=m
# CONFIG_IEEE1394_PCILYNX is not set
CONFIG_IEEE1394_SBP2=m
# CONFIG_IEEE1394_SBP2_PHYS_DMA is not set
CONFIG_IEEE1394_ETH1394_ROM_ENTRY=y
CONFIG_IEEE1394_ETH1394=m
CONFIG_IEEE1394_RAWIO=m
CONFIG_IEEE1394_VIDEO1394=m
CONFIG_IEEE1394_DV1394=m
# CONFIG_IEEE1394_VERBOSEDEBUG is not set
CONFIG_FIREWIRE_NOSY=m
My Freecom firewire DVD-RW works fine with Knoppix 6.4.3.