Names changes are fairly common in modern Israel. Scholars in the recent past have referred to the river that flows from Banias as the Nahr (River) Banias (Nelson Glueck, The River Jordan, 1945, p. 17).
The Nahr (River) Banias is the easternmost source of the River Jordan. The source of the Banias is located at a site we know as Caesarea Philippi in the New Testament. It is well known to those who study the ministry of Jesus (Matthew 16:13-19). The earlier Greeks carved the name of Pan on the rock and called the place Paneas. Glueck says,
The latter is the name that has endured to this day. The Arabs call it Banias, because every p becomes a b in their pronunciation.
Here is one of the photos I made during a clearing on a rainy day in mid-April.
The Israel Nature and Parks Authority now call this area the Hermon Stream Nature Reserve (Banias). At the point where the springs now emerges from the ground, this sign can be seen.
We shortly lose sight of the stream. About 2¼ miles southwest of the source, the stream emerges as the beautiful Banias (or Hermon) Waterfall.
As the river continues south, it soon merges with the other streams and becomes the famous Jordan River. I am rather certain in my mind that a decade or so ago this waterfall was identified as the Jordan River Fall. Technically, of course, it would still be the Banias or Hermon.
One can see why Israel would name the river the Hermon rather than call it by the Arab name Banias. But, it sometimes gets confusing — just like Bible translations of similar names.