Then you shouldn't be reading it in place of the readings prescribed in the Missal, and the celebrating priest erred if he gave you permission to read it.
The OT reading at the Funeral Mass are to be chosen from 2 Macc 12, Job 19, Wisdom 3, Wisdom 4, Isaiah 25, Lamentations 3, and Daniel 12. Those readings should be present in the Lectionary.
The Mass, including the selection of Scriptures to be read, is not something we make up as we go. It's not even something priests should make up as they go. It's the public prayer of the whole church.
why a Bible was not and is not normally present at a Mass so that this reading was available and at hand to be read aloud.
See above.