Bossier gets it water from two places:
http://maps.google.com/maps?f=q&hl=e...&t=h&z=15&om=0
and
http://maps.google.com/maps?f=q&hl=e...&t=h&z=16&om=0
Both are upstream of Cross Bayou. Twelve Mile Bayou doesn't intersect the Red River, it empties into Cross Bayou, which empties into the Red.