Graham scored for Boro on the stroke of half time following a poor first half. West Brom levelled ten minutes into the second half.
It was Boro who made all the running, and but for a string of saves from the Baggies keeper, Tomasz Kuszczak, they would have taken all three points.
Boro team:
Knight, Hines, Wheater (Cooper), Bates (Clough), Grounds, Liddle, Cattermole, Kennedy, Owens, Graham (Burgess), Craddock.