How can I make an AUTOLOAD sub declaration in a child class not hide the AUTOLOAD sub of parent?

I use AUTOLOAD functions to automagically generate sub routines for accessing data from my objects. However, if a class which inherits from my class declares an AUTOLOAD subroutine then they will hide my AUTOLOAD.

Is there a way to do this? Am I terribly confused?

Here is some code to illustrate the problem:
Class B inherits from class A. Class A uses AUTOLOAD to generate a baz() method. Class B uses AUTOLOAD to generate a foo() function.

The Problem:
Class B's AUTOLOAD routine captures the baz() call, and I can't figure out how to pass that to Class A's AUTOLOAD function.

package A;

sub bar { return "BAR"; }

sub AUTOLOAD {
    my (@objpath) = split(/::/, $AUTOLOAD);
    my $fname = pop @objpath;
    return if $fname eq 'DESTROY';
    if ( $fname eq 'baz' ) {
        my $subr = <<EOSUB;
sub $AUTOLOAD {
    return "FOO";
}
EOSUB
        eval $subr;
        goto &$AUTOLOAD;
    }
    return;
}


package B;

@ISA = qw( A );

sub new { return bless {}, shift; }


sub AUTOLOAD {
    my (@objpath) = split(/::/, $AUTOLOAD);
    my $fname = pop @objpath;
    return if $fname eq 'DESTROY';
    if ( $fname eq 'foo' ) {
        my $subr = <<EOSUB;
sub $AUTOLOAD {
    return "FOO";
}
EOSUB
        eval $subr;
        goto &$AUTOLOAD;
    }
    return;
}

package main;

my $b = new B;

print "foo: ", $b->foo, "\n";
print "bar: ", $b->bar, "\n";
print "baz: ", $b->baz, "\n";
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