I can find a few refeences to Argoed Fach in the Welsh Newspapers online archive - most relate to families called Walters , Richards and Davies - a few Jones items (see below). an auction for Argoed in 1906 says the property includes a cottage called Argoed Fach or Bank
The Aberystwith Observer 11th April 1885
ACCIDENT. As a poor widow named Mary Jones, Argoed-fach, was sitting by the fire on Wednesday night, at her house, she was taken in a fit and fell into the fire. Being- unable to move, her arm was severely burned to the bone but there is every hope for her recovery.
The Carmarthen Journal and South Wales Weekly Advertiser 25th October 1889
Lloyd v. Jones. David Lloyd, solicitor, Lampeter, sued Mr John Jones, Argoed-fach, Tregaron, for the recovery of £ 19 10s, being one and a half years' rent of Gwarffynon, Tregaron. Mr Arthur Hughes appeared for the plaintiff, and Mr W. P. Owen (Griffith Jones & Co.) for the defendant. The plaintiff was examined in support of his case, and a mortgage dated 26th April, 1880, from Griffith Griffiths to plaintiff, was put in and admitted by the defendant. The Judge made an order in favour of the plaintiff for £19 10s and costs, payable by monthly instalments of £ 1