Looking for a way to re-program 16x2 LCD display EEPROM font
Most HD44780 based and similar LCDs have two areas for the fonts, the GCROM and the GCRAM. the GCROM is not editable as this is written by manufacturer, while the GCRAM allows for user defined characters. This area allows the user to define 8 characters, and are usually used for custom symbols.

There are several tutorials online, just search for "HD44780 custom characters".

A good page I've read in the past is this one, which also explains other parts of this LCD:
http://www.handsonembedded.com/lcd16x2-hd44780-tutorial-5/