Had Robin Hood existed, he would have roamed Sherwood Forest during the reign of Richard I in the 12th Century.  Although no extant archery material can be attributed to the legend of Robin Hood, we do have wonderful examples of archery equipment from this time period to use as our arrow.
 
In 1170 the town of Waterford in Ireland was besieged by the Anglo-Normans, and a number of arrowshafts and arrowheads were recovered from outside the town walls.  The Robin Hood arrow uses one of these arrowshafts - found complete from nock to arrowhead - and I have added a Type 1 "multi-purpose" arrowhead, ideal both for hunting from woodland hides and for using against lightly armoured opponents.
 
The Waterford arrow had a wide, flattened nock and the fletchings would have been bound into a birch tar glue.
 
Specifications
 
Dating - 1150 - 1200
Arrowhead - LMMC Type 1 (Coppergate, York SF12837)
Arrowshaft timber - Scots pine
Arrowshaft profile - Waterford, Ireland (E343:5375:19)
Original draw length - 555mm (21.8")
Nock - Flattened
Bindings - Flax
Glue - Birch tar