Complex sentence: Sometimes people would come up to her after the concert and tell her that the Lord had healed them; other times, no one would testify to the fact that they had been healed, although they might approach her about it many years after their healing.
Split into simpler sentences: Sometimes people would approach her after a concert and tell her that the Lord had healed them. Sometimes no one would testify to the fact that they had been healed, although they might tell her about it years after their healing.