The exact replacement for the touchpad flex cable connector is 5014610401 from molex... google it
however finding someone who sells it, thats the real challenge
Anyways back to the Hirose connector "FH19SC-4S-0.5SH(05)"
I was able to make the touchpad work again with the hirose connector... however there where some problems...
while the lands of the 4 electrical pins matched perfectly,
the 2 side lands of the connector (used for strain protection, no electrical connection) did not match!
I was able to put some epoxy to glue the piece to the board to prevent any tugging/pulling from installation.
The flex cable fits perfect in the hirose connector.
After sealing the DS Lite and powering it on ...
the touchpad is alive again

.
Anyway if anybody can find a vendor for the molex part please let me know
otherwise you can try the hirose connector at your own risk.