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The most commonly accepted short form of verbalizing the references for numbered books of the Bible is:
Today's Bible reading is from first/second/third [book name], chapter 2, verses 1 through 5.
Also common, but frowned upon and even laughed at by some, is:
Today's Bible reading is from one/two/three [book name], chapter 2, verses 1 through 5.
If it's a numbered Epistle, I prefer to be a little more descriptive for listeners who are not so familiar with the Bible and its books.
For Epistles named for their author (1 & 2 Peter; 1, 2, & 3 John):
Today's Bible reading is from the first/second/third epistle/letter of [epistle name], chapter 2, verses 1 through 5.
For Epistles named for their recipients:
If the recipient is an individual (1 & 2 Timothy):
Today's Bible reading is from the first/second epistle/letter to [epistle name], chapter 2, verses 1 through 5.
If the recipient is a group (1 & 2 Corinthians; 1 & 2 Thessalonians):
Today's Bible reading is from the first/second epistle/letter to the [epistle name], chapter 2, verses 1 through 5.