We present detailed chemical compositions of 10 red giant star members of the Galactic (open) cluster NGC 752, derived from high-resolution (R~60000), high signal-to-noise (S/N>=140) spectra. We confirmed cluster memberships by measuring the stellar radial velocities, and by deriving model atmosphere parameters (Teff, logg, [Fe/H] and {xi}t) from equivalent widths of FeI, FeII, TiI, and TiII lines. The metallicity we obtained for NGC 752 ([Fe/H]=-0.02+/-0.05) is in good agreement with previous studies. We derived abundances of alpha (Mg, Si, Ca), light odd-Z (Na, Al), Fe-group (Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn), n-capture (Y, La, Nd, Eu), and p-capture (Li, C, N, O) species for each star. Furthermore, we also derived abundances of the LiCNO p-capture element group and carbon isotopic ratios, using synthetic spectrum analyses of the LiI 6707{AA} resonance doublet, the [OI] line at 6300{AA}, the CH G-band features near 4311 and 4325{AA}, the C_2_ bandheads at 5160 and 563{AA}, and ^12,13^CN red system lines in the 7995-8040{AA} region. By applying recent isochrones to NGC 752 photometry, and comparing the colour-magnitude diagram information to our Li abundances and 12C/13C ratios, we suggest that the 10 observed red giants can be separated into three first-ascent, six red-clump and one red horizontal branch star.