Python (71+467 including whitespaces)
import sys
sys.path += ["TDOC.zip"]
import TDOC
TDOC.print_verse()
Where TDOC.zip (467 bytes) contains TDOC.py:
def print_verse(presents="""\
twelve drummers drumming,
eleven pipers piping,
ten lords a-leaping,
nine ladies dancing,
eigth maids a-milking,
seven swans a-swimming,
six geese a-laying,
five gold rings,
four calling birds,
three french hens,
two turtle doves, and
a partridge in a pear tree.""".split("\n")):
if presents:
print_verse(presents[1:])
number = presents[0].split(" ", 1)[0]
print("On the %s day of Christmas my true love gave to me %s" % (
dict(a="first", two="second", three="third", five="fifth").get(number, number+"th"),
" ".join(presents)))