Nowadays the hospital is called Bethesda hospital and as mentioned had roots in colonial times, when it was called Petronella Hospital. It is a Protestant hospital that is classified as a category B hospital (code 3471063) with 351 beds.
The address of the hospital is: Jalan Jend.Sudirman no. 70 Yogyakarta.
Its coordinates are: -7.70 and 110.38.

From the website of the hospital http://www.bethesda.or.id we copied part of its history (Google translated):

History of Bethesda Hospital
Bethesda Hospital was founded by Dr. J.G Scheurer, a doctor who was sent by Nederlandse Zendingsvereniging based on the Gospel of Luke 10:9 which reads "and heal the sick who are there and say to them: The kingdom of God is near to you". Bethesda Hospital was originally named Zendingsziekenhuis “Petronella”. The name Petronella is taken from the name of the wife of a retired pastor named Coeverden Andriani who provided financial assistance to build a hospital. The local community at that time knew the "Petronella" Hospital under the name "Dokter Pitulungan" or "Dokter Tulung".

In its journey since the establishment of Petronella Hospital, it has experienced ups and downs in accordance with the dynamics that occur in Indonesia and the world. During the Japanese occupation Petronella Hospital was taken over by the Japanese and changed its name to "Jogjakarta Tjuo Bjoin" this takeover ended the name and principle of Petronella Hospital as a Christian hospital. After the end of the Japanese occupation, the "Jogjakarta Tjuo Bjoin" Hospital was successfully returned to its original principle as a Christian Hospital but was renamed "Roemah Hospital Poesat". In order for the general public to know that this Central Hospital is one of the love service hospitals (Christian), then on June 28, 1950 the "Central Hospital" was announced as a Christian Hospital and its name was changed to "BETHESDA HOSPITAL".