"would I mind getting her a book every week, a romance by Charlotte M. Brame or any other nice writer."

Charlotte M. Brame (1836-84) was a prolific writer of romantic Mills & Boone-type romantic stories in the mid to late 19th century.  Her best-known novel was "Dora Thorne". 

The Public Libraries and Museums Act applied to Ireland from 1853. The first library  opened in Dundalk in 1858, followed by two others in Dublin in 1884, and another in Belfast in 1888.