Thanos,
In India it is quite common to find certain castes (tribes) who are knowledgeable about elephant herding. This girl seems to have grown up around them. You could say it's a miracle in the sense that she wasn't formally trained, and the elephants didn't attack.
I think it could have been miraculous in that the girl is Christian and actually PRAYED before her encounter. In the tradition of St. Seraphim of Sarov, St. Francis and countless other saints, the blessed creatures of God may have sensed the love of the Creator in her words and thus, in a miraculous way, heard her, understood her and listened to her.
Miraculous it is indeed. Monks on Mt. Athos are known to have spoken to snakes and other countless dangerous creatures, commanding them, and being heeded.
When my husband was visiting Mt. Athos a few years back, he said that one night, sitting outside a monastery with the Elder of the monastery and some other men, jackals or some sort of animals like that, were howling incessantly. The Elder got annoyed at one moment, and yelled out to them: "that is enough now!!"... and then there was instant silence of the animals
..(or could they not have been animals, but something more sinister howling?!?).