screen -d -m -L?

Hi, 

I'm trying to log the output of long running screen scripts I run via screen -d -m by adding on a -L param.

This works nice and puts the file in ~/screenlog.0 but wondering if there is a way via command-line params to specify an alternate log location?  Ideally I'd do something like this:

screen -d -m -L /var/log/update1.log some_cmd.sh

Appears you can do this in .screenrc via logfile.  Or I guess I could mv the ~/screenlog.0 file somewhere after the session is over.  Just figured I'd check if there was something easier that I'm missing though.

Lastly, I assume the screenlog.0 file is gonna contain ANYthing seen on the screen output, wall messages, stderr stuff included?

Josh