As the Sony Vaio GR370 has the ATI Mobility Radeon video card, it is recommended to use the Vesa driver for XFree86. The configuration illustrated below was for XFree86 Version 4.1.0.1, with Debian installed. The Debian tool xf86config did not configure the monitor/card properly, and I had to manually configure everything.
Illustrated below are the sections of the XF86Config file which will get XFree86 to work correctly on your system:
Section "Device"
Identifier "Vesa"
Driver "vesa"
EndSection
Section "Monitor"
Identifier "LaptopLCD"
HorizSync 27-115
VertRefresh 50-160
EndSection
Section "Screen"
Identifier "StandAlone"
Device "Vesa"
Monitor "LaptopLCD"
DefaultDepth 24
SubSection "Display"
Depth 16
Modes "1400x1050"
EndSubSection
SubSection "Display"
Depth 24
Modes "1024x768"
EndSubSection
EndSection
Section "ServerLayout"
Identifier "Default Layout"
Screen "Standalone"
InputDevice "Generic Keyboard"
InputDevice "Configured Mouse"
EndSection
Redhat Linux automagically configures X-Windows for you. Though you may need to edit the XF86Config file to get your desired resolution. The driver that Redhat configures is svga as well as accel. You can view how Redhat configured X Windows for a Vaio GR390 at http://www.prongs.org/linux/sony/xfree86-redhat.txt.