  Julius Whiston and Jan Saxl showed that the size of an irredundant generating
set of the group G=PSL(2,p) is at most four and computed the size m(G) of a
maximal set for many primes. We will extend this result to a larger class of
primes, with a surprising result that when p\not\equiv\pm 1\mod 10, m(G)=3
except for the special case p=7. In addition, we will determine which orders of
elements in irredundant generating sets of PSL(2,p) with lengths less than or
equal to four are possible in most cases. We also give some remarks about the
behavior of PSL(2,p) with respect to the replacement property for groups.
