My husband & I attended the funeral mass for a RCC friend not long ago. It was, for the most part, a Latin mass with scripture readings in English. We were disappointed to see that the priest had to look in the index to find the book of the bible from which to read the passage. His fumbling around was obvious to all and it was not because he was old and had difficulty seeing. He was middle aged and wearing glasses. He did not seem to have familiarity with the bible.
Priests read from Lectionaries and Evangelaries at Mass. These are a series of pericopes from the Bible excerpted for liturgical purposes and not necessarily in a set order by chapter and verse. They aren't in the order they appear in the Bible, but rather in the order they are needed in the Liturgy.
At Masses for the dead, the readings vary depending on what day the Mass is being celebrated. The Priest probably was just looking in the wrong place and realized he needed to find the right one.
Heh...we went to the funeral of a friend's RCC grandfather once. It was all in Korean.