Earlier, Blaze were sent in and Marie Kelly hit the second ball of the match for four but was bowled next ball to become Burns’ first victim.
At 38-2 after six overs, Kathryn Bryce reached 31 from 28 balls before a promising innings was ended by Katie Levick, who went onto take 3-22.
Blaze lost three wickets in six balls to plunge to 86-6 after 15 overs.
But Josie Groves struck an unbeaten 24 from 17 balls to lift her side to 136 all out.
The result sees the unbeaten Blaze go second, one point behind leaders Central Sparks in the early table.
