Python process pool isnt creating expected numberof processes

Question

I am trying to write a simple program using python's pool module. Here is my code:

from multiprocessing import Pool
from multiprocessing.pool import ApplyResult
import time
import os

def unwrap_self_f(arg, **kwarg):
  print 'inside unwrap_self_f'
  return C().f(arg, **kwarg)

class C:
  def f(self, name):
    return 'Inside f..Process id :' + str(os.getpid())

  def run(self):
    print 'Reached inside run..'
    print 'main process id ..', os.getpid()
    pool = Pool(processes=4)
    names = ['frank', 'justin', 'osi', 'thomas']        
    print pool.map(unwrap_self_f, names, 1)               

if __name__ == '__main__':
   print 'Starting....'
   c = C()
   print 'Running....'
   c.run()

When I run this program, I was expecting to see 4 different process ids being printed, one for each child process that was created. The chunksize that I have selected is 1, so that each item in the list goes to a separate process.

However the process id being printed is the same. I get the below output:

Starting....
Running....
Reached inside run..
main process id .. 1284
['Inside f..Process id :6872', 'Inside f..Process id :6872', 'Inside f..Process id :6872', 'Inside f..Process  id :6872']

Am I getting somewhere wrong here. Please can anyone shed some light on this. Thanks in advance.