Thanks for the help. I too thought it was an L4 because it has that number stamped but is definetly not that. Googling turned up the LG1 which is closer to what this looks like but I can't be sure.
The first digit is either a 0 or a 9..hard to read and it ends in 34 followed by L4.
It is my bad not being able to provide you an accurate number. But good idea about contacting Gibson..would clear it up pretty quick.
Looks sort of like this. She said it was from her father so maybe it is newer than she thinks?
http://guitarauction.com/pics/gibsonlg1f.jpg