Missing details for plaque

Sources (use as reference only!)
"In 1829, during the Mayoralty of Nathaniel Alcock, the
Tholsel was extended, as is indicated on a plaque on the wall to Mary’s Lane."
- 
https://consult.kilkenny.ie/ga/system/files/materials/2638/Tholsel_Conservation%20Architect%20Report%20%281%29.pdf

"This plaque at the rear of the Tholsel reads “POSUIT
ANNO DOM. MDCCCXXIX NAT. ALCOCK M.
D. PRAEFECTUS”. It is written in Latin and means
that Nathaniel Alcock, a medical doctor who was
mayor in 1829 laid the stone when the Tholsel was
being extended."
- 
https://www.heritageinschools.ie/content/resources/Stepping%20into%20Kilkenny's%20History%20A%20Resource%20for%20Primary%20Schools/Stepping_into_Kilkennys_History.pdf