All Hieroglyps character are stored using surrogate pairs. QPainter's drawText method can't paint always at each time theses character, and Qlabel can't display this character too. In both test, I use a font named "AEgyptus".
The same character can be displayed by other programs in my computer.

The strangest part is same binary executed several time don't display each time the same caracter (cf the screenshoots 4 execution of the same code 4 differents result the bird is the execpeted result).

The fonts are here http://bit.ly/1snZiy2 (AEgyptus)

the code to display that

BTW for the Bird

To reproduce the bird => res = 78143

int res = Map->value(*hiero);
const wchar_t testwc= (const wchar_t)res;
Hieroglyph.append(QString::fromWCharArray(&testwc, 1));