But in the last eight minutes of play, the Lady Bearkatz put all the pieces together to pull past Mammoth Spring 58-46.
The Lady Bears trailed by just two, 39-37, at the end of the third period.
That two-point margin turned into an 11-point spread as Melbourne opened the final frame with a 9-0 burst that covered the first three minutes of the last frame.
Tori Rush (nine points) knocked in the first five points in the Lady Katz' run, while Amanda Treat (six points) finished with the last four.
Sierra Smoot (14 points) halted the run with a jumper for Mammoth Spring, and back-to-back buckets by Bianca Paige and Jessy Jo Vest (14 points) pulled the Lady Bears within seven, 50-43, with 2:33 left to play.
Then with one last burst, Melbourne wrapped things off.
Sara Adams (six points), Maggie Cooper (16 points) and Kaylee Ables (four points) hit three straight hoops for the Lady Katz to open up a 13-point cushion in the waning minutes of the game.
Smoot nailed a late triple for Mammoth Spring, but the Lady Bearkatz still ended the evening with a 12-point victory.
Mammoth Spring got off to the quick start it wanted in the game's first eight minutes of play, a tone set by Shelby Frey's (10 points) long trey that was the Lady Bears' first field goal of the contest.
Tori Taylor and Kenzi Gillihan (nine points) each hit a 3-ball for Melbourne in the first period, but Frey hit her second and Smoot hit her first, helping Mammoth Spring to a 16-9 lead after one.
Melbourne managed to ease in front in the second period, due in part to a pair of 3-pointers from Gillihan in the frame.
Maggie Caraway scored the last three points of the second for Melbourne, pushing the Lady Katz on top 27-22 with 19 ticks left before intermission.
Brittany Bearden (four points) trimmed two points off Melbourne's cushion with a layup for the Lady Bears just before the buzzer, sending the squads to the break with the Lady Bearkatz on top 27-24.
Despite a strong third period, the Lady Katz still couldn't shake off the persistent Lady Bears.
Maggie Cooper hit back-to-back buckets, including a trey, late in the third to give Melbourne a 39-34 lead.
But then Smoot struck back with a 3-ball at the buzzer to edge Mammoth Spring within two at the period's end.
However, Melbourne controlled the first three minutes of the final frame and opened up enough space to finally stop Mammoth Spring 58-46.
Hannah Billingsley logged two points for Melbourne.
Leigha Presley finished with two points for Mammoth Spring.