David Dunn then gave Blues the lead for the second time just two minutes later with a goal against the club he played for as a youth.
The Clarets drew level again, however, on the hour through a Robbie Blake penalty after Ian Moore had been brought down in the box by Kenny Cunningham.
BLUES: Bennett, Tebily, Clapham, Purse, Cunningham, D. Johnson, Savage, Dunn (Clemence, 73), Lazaridis (Carter, 65), John (Devlin, 65), Horsfield (Kirovski, 65)