In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Betws Ifan like this:
BETTWS-EVAN, or Bettws-Jeuvan, a hamlet and a parish in Newcastle-in-Emlyn district, Cardigan. The hamlet stands on elevated ground, midway between Cardigan bay and the river Teifi, 5 miles N by W of Newcastle-in-Emlyn r. station. The parish includes also the hamlet of Llynnchel; and its Post Town is Newcastle-in-Emlyn, under Carmarthen. Acres, 2,6 40. Real property, £1,537. Pop., 419. Houses, 101. The property is much subdivided. The living is a p. curacy, annexed to the vicarage of Penbryn, in the diocese of St. David's. The church is good.
GB Historical GIS / University of Portsmouth, History of Betws Ifan, in Ceredigion and Cardiganshire | Map and description, A Vision of Britain through Time.
Date accessed: 28th April 2017
Click here for more detailed advice on finding places within A Vision of Britain through Time , and maybe some references to other places called " Betws Ifan ".