Attached is the ONLY record of this word i could find. From the New Sporting magazine published, 1838. Obviously OED has a better algorithm.
[‘ A bead of the rosary. Also: the rosary. Earliest in fig. context.’]
Pronunciation: Brit. /padəˈriːn/, U.S. /ˌpædəˈrin/, Irish English /padəˈrin/
Forms: 16 padderine, 17 padderen, 17 19– paddereen, 18 padhereen, 18 paudereen, 18– padareen, 19– paddhereen, 19– padhren, 19– paidreen, 19– paidrin.
Etymology: < Irish paidrín rosary, rosary bead < paidir the Lord’s prayer (Early Irish paiter; < classical Latin pater father (see pater n.2), the first word of the prayer: see paternoster n.) + -ín -een suffix2.