Calculations of inner-shell photoionization of 1s(2)2p P-2(o) and 1s(2)3p P
-2(o) Li excited states have been performed using recent developments of th
e R-matrix code with a 29-term target representation for incident photon en
ergies up to 165 eV, with particular emphasis on multiple electron processe
s. Partial and total cross sections are given for a number of excitation pr
ocesses including the lower members of 19 hollow atom resonance series. The
results are compared with recent experimental measurements of the lowest 2
s2p(2) L-2(e) resonance of even-parity hollow Lithium states produced by ph
otoexcitation of laser-excited lithium atoms. Experiment and theory are in
excellent agreement on a relative scale. The enhancement of the shake-up pr
ocess increases with initial state excitation, up to 500% over that of the
ground state for 1s(2)3p P-2(o). Good agreement is also obtained for K-shel
l photoionization when comparing branching ratios with available experiment
al results. [S1050-2947(99)08801-0].