Chronography 2.10 (in Eusebius, Praeparatio Evangelica 9.21) — E. H. Gifford, Eusebius, Preparation for the Gospel (Oxford, 1903), public domain (public domain)
So when he was come to Luz of Bethel, God said that his name was no longer to be Jacob but Israel. Thence he came to Chaphratha, and thence journeyed to Ephratha, which is Bethlehem, and begat there a son Benjamin; and Rachel died after giving birth to Benjamin, when Jacob had lived with her twenty-three years.
Reproduced in full. Translation: E. H. Gifford, Eusebius, Preparation for the Gospel (Oxford, 1903), public domain (Public domain).
Why Pitre cites it
Jacob came 'to Ephrath, which is Bethlehem, and there he fathered Benjamin; and Rachel died after giving birth to Benjamin' — the Bethlehem link preserved in the third century BC.
Notes
Gifford spells 'Ephratha, which is Bethlehem' (key phrase given as 'Ephrath'). Quoted by Eusebius from Alexander Polyhistor; the fragment is in PE 9.21 (chapter heading 'Now let us return to Polyhistor. [ALEXANDER POLYHISTOR] Demetrius says...'). One sentence of lead-in (Luz/Bethel) kept.