This medieval establishment served as more than just a place of lodging; it became an important fixture in the local religious community. The inn's connection to the area's spiritual life ran deep, linking it to the nearby St. Werburgh's parish in ways that would shape its purpose for generations.

In 1479, the property took on a new role when it was granted to the proctors of St. Werburgh's parish. The transfer came with a specific purpose: to provide funding for a chantor at the Chapel of St. Martin within St. Werburgh's Church. This arrangement demonstrates how properties in medieval Dublin often served dual purposes, supporting both commercial and religious functions. The inn's revenues would have helped maintain the musical traditions of the church, ensuring that sacred music continued to fill the chapel.

Today, no visible traces of Conyngham's Inn remain above ground, leaving only historical records to tell its story. The site has been absorbed into Dublin's ever-changing urban landscape, though its location can still be traced through old maps, including the FMD map from 1978. Like many of Dublin's medieval structures, the inn exists now only in the city's collective memory, a reminder of the complex relationships between commerce, property, and religion that shaped the capital during the late medieval period.