The font showing in the Writer font drop down selection box is the font the document is asking for - it is NOT necessarily the font being used to create the display
. This is because if the font being asked for is not installed on the PC, Windows (or other operating system) will silently substitute
a different font which is available.
add-on is invaluable for finding missing fonts which the document is asking for, but which are not installed on the PC. You can see which fonts are installed on the PC by Start > Control Panel > Fonts or by clicking C:\Windows\Fonts.