  Within the Coulomb and proximity potential model (CPPM) the cluster decay
process in {199-226}^Fr, {206-232}^Ac, {209-237}^Th, {212-238}^Pa, {217-241}^U,
{225-242}^Np, {225-244}^Pu, {231-246}^Am, {202-230}^Ra and {233-249}^Cm
isotopes leading to the doubly magic 208^Pb and neighbouring nuclei are
studied. The computed half lives are compared with available experimental data
and are in good agreement with each other. The half lives are also computed
using the Universal formula for cluster decay (UNIV) of Poenaru et al,
Universal decay law (UDL) and the scaling law of Horoi et al, and their
comparisons with CPPM values are found to be in agreement. The calculations for
the emission of 22^O, 20^O, 20^O from the parents {209-237}^Th, {202-230}^Ra
and {217-240}^U respectively were the experimental values are not available are
also done. It is found that most of the decay modes are favourable for
measurement, and this observation will serve as a guide to the future
experiments. The odd-even staggering (OES) are found to be more prominent in
the emission of odd mass clusters. The Geiger - Nuttall plots of log_10(T_1/2)
vs. Q^{-1/2} for various clusters ranging from 14^C to 34^Si from different
isotopes of heavy parent nuclei with atomic numbers within the range 87 \leq Z
\leq 96 have been studied and are found to be linear. Our study reveals the
role of doubly magic 208^Pb daughter nuclei in cluster decay process and also
reveal the fact that the role of neutron shell closure is crucial than proton
shell closure.
