Here is where you can download the driver. Make sure that you have the 32bit version of Ubuntu, because this a 32bit driver only.
Once downloaded follow the following:
A. RUNNING THE GUI INSTALLER SCRIPT IN THE TERMINAL
Open up terminal, just press Ctrl+Alt+T on your keyboard to open Terminal. When it opens, run the command(s) below:
Extract the zip file
Use the following command to install the driver
#./lexmark-inkjet-[xx]-driver-[x.x.x]..i386.deb.sh
Follow the instruction in the installation screen.
B. RUNNING THE GUI INSTALLER SCRIPT
Do not attach the printer via USB to the Linux machine.
Extract the zip file.
lexmark-inkjet-[xx]-driver-[x.x.x].i386.deb.sh
Run the installer script file by double-clicking on the file icon and then click the "Run in Terminal" button or run the script file via command-line.
Follow the instructions in the installer screen.
Installation instructions Source:Lexmark