Cheered on by her husband and young daughter, Rodina quietened the partisan crowd to defeat home favorite Chang, 6-4, 6-3.
After exchanging a couple of early breaks, Rodina struck decisively in the seventh game to pinch to opening set. She built on this momentum at the start of the second, racing into a 4-0 lead before surviving a late fightback to close out victory.
"Chang played really well today but I was lucky I came out on top in the important moments," Rodina said. "It was great to have my daughter and husband here this week - it really helped - I played second time here and I hope to come again next year!"
A semifinalist 12 months ago, Rodina's only previous silverware had all come on the ITF Circuit, most recently on the grass of Ilkley this summer.
There was further disappointment for the home fans in the following doubles final, as Natela Dzalamidze and Veronika Kudermetova fought back to defeat Chang and Chuang Chia-Jung, 4-6, 6-3, 10-5.