Does God still heal people?

This is not a story some one told me ..about a friend… who had a friend… like one of those stories that are touching ....but impossible to verify. I was physically present when all of the important elements of this story took place.
She was a new believer, young mother , a university student struggling with all the normal things common to that period of life. She was trying to balance marriage, baby, and studies, but she had also been diagnosed with a dangerous physical condition that required two or more treatments a week. Her life was an endless cycle of… good day.. bad day.. treatment day… OK day …and the prognosis was that she would probably live this way for life unless some new treatment method was discovered.
One Sunday evening at the close of service, an invitation was given for anyone needing special prayer to come forward. She came ...with all of the emotions of her roller coaster life playing on her face. Without hesitation she specifically asked for prayer to be healed of her condition. Following the custon of our church she knelt at an altar rail, one of the ministry staff made the sign of the cross in anointing oil on her forehead while the ministry staff present and elders placed their hands on her head and shoulders and prayed for her. I was there but I don’t remember who lead the prayers , neither do I remember any particular or dramatic words spoken. Our offerings were simply the heart-felt expressions of brothers and sisters sensing the pain of a suffering loved one . We prayed for her husband , child , university studies, and that God would have mercy on her and heal her physical infirmity.
At the end of the prayer she rose with tears, gratitude and new found hope We continued to pray for other needs and eventually went home. Nothing particularly remarkable about that event, I have witnessed and participated in this ritual many times.
A few days later I recieved an excited, hopeful phone call about a missed treatment .....then a week without.... stretched into months until it was obvious to all but the most jaded..... that God had stretched out his hand in a miraculous way that night. We had witnessed ..a healing .. like in the Bible ….like Jesus used to do …right in our church!
Why her? Was she believing in just the right way? Why that prayer .....did someone get all the words in the just right order?
Or does the sovereign God, in his own time, and for his own purposes, sometimes send us a special gift...a reminder of his extravagant love and absolute power over the material and spiritual worlds..... a faith building object lesson just for us!