baud rate should be 115200, 8 data bits, 1 stop bit, parity none, flow control xon/xoff (probably none for flow control will do)
Of course you need to use the right com port as well, (see device managere windows to find the right com port)
Also the adapter should have TTL level voltage (3,3 V) but from your post I make up it is a 3,3 V one. If this adapter is not TTL level then the voltage level it supplies might be 5 V instead of 3.3 V.
Then it wont work and may damage the board.
When it connect properly you should at least see u-boot loading and that reporting it loads and boots the kernel, after that the kernel out should follow. If you don't see the u-boot output then a not properly setup communication is the problem.
Look here to check out your setup:
http://lacie.nas-central.org/wiki/Seria ... space_2%29ps I use Putty for serial connection.
maybe you could try to switch rx and tx connection (pin 7 and 8 on the board)
ps the serial connection will not give output if you open connection when the lacie is power up. You need to have an open connection and then power up the lacie