  We report on spectroscopic analyses of three K giants previously suggested to
be Li-rich: IRAS 12327-6523, IRAS 13539-4153, and IRAS 17596-3952.
High-resolution optical spectra and the LTE model atmospheres are used to
derive the stellar parameters: ($T_{\rm eff}$, log $g$, [Fe/H]), elemental
abundances, and the isotopic ratio $^{12}$C/$^{13}$C. IRAS 13539-4153 shows an
extremely high Li abundance of $\log\epsilon$(Li) $\approx$ 4.2, a value ten
times more than the present Li abundance in the local interstellar medium. This
is the third highest Li abundance yet reported for a K giant. IRAS 12327-6523
shows a Li abundances of $\log\epsilon$(Li)$\approx$ 1.4. IRAS 17596-3952 is a
rapidly rotating ($V{\sin i}$ $\approx$ 35 km s$^{-1}$) K giant with
$\log\epsilon$(Li) $\approx$ 2.2. Infrared photometry which shows the presence
of an IR excess suggesting mass-loss. A comparison is made between these three
stars and previously recognized Li-rich giants.
