Question: What building was added to the National Register of Historic Places at the same time as the oldest building on Monument Square?

Context paragraphs:
New Hampshire Bank Building: The New Hampshire Bank Building is a historic commercial building at 22-26 Market Square, Portsmouth, New Hampshire.  Built in 1803 and much altered since, it is one of the nation's oldest purpose-built bank buildings, and was until 1977 the oldest building used continuously to house banking operations.  It was added to the National Register of Historic Places in 1979.

Cannon Building (Troy, New York): The Cannon Building in Troy, New York is located on Broadway between First and State streets.  It is the oldest building on Monument Square.  It was designed by Alexander Jackson Davis and built in 1835.  In 1970 it was listed on the National Register of Historic Places.  It is also a contributing property to the Central Troy Historic District, listed on the Register in 1986.

St. Francis Solanus Mission: St. Francis Solanus Mission is a historic mission on W. Lake Street in Petoskey, Michigan.  It is the only existing building in the Arbre Croche district dating from the time of Bishop Frederic Baraga, and is the oldest building still standing in Petoskey, as well as one of the oldest in northern lower Michigan.  The mission was added to the National Register of Historic Places in 1972.

Floral Hall (Harlan, Iowa): Floral Hall is a historic building located at the Shelby County Fairgrounds in Harlan, Iowa, United States.  It was listed on the National Register of Historic Places in 1985.  The cross-shaped, frame structure is the oldest building on the fairgrounds, and one of the oldest, relatively unaltered, county fair exhibition buildings in Iowa.  It is composed of four identical 18 by sections organized around a 18 ft -square central section, which is capped with a square cupola.  Both the building and the cupola are capped with a gable roof.  The exhibition hall was built by the Shelby County Agricultural Society, who organized the agricultural fair in 1869.  They bought the present fairgrounds in 1879, and this building was built sometime between that year and 1882 to house exhibits that were of interest to women.  Over the years it has housed a variety of exhibits.  The Shelby County Fair Association took over the fair in 1891

McCarthy Building (Troy, New York): The McCarthy Building is located on River Street on the west side of Monument Square in Troy, New York, United States.  It was built in 1904 by Peter McCarthy, president of Troy Waste Manufacturing Co., and remains in use as a commercial building.  In 1970 it was added to the National Register of Historic Places in 1970, along with the nearby Cannon Building.  Since 1986 it has also been a contributing property to the Central Troy Historic District.

List of historic properties in Bisbee, Arizona: This is a list of historic properties in Bisbee, Arizona, which includes a photographic gallery of some of the town's historic structures.  The majority of these structures are located in the Bisbee Historic District which was added to the National Register of Historic Places on July 3, 1980, reference #80004487.  Others are located in the Bisbee Residential Historic District which was added to the National Register of Historic Places on October 15, 2010, reference #10000233.  Also included are the photographs of individual properties identified as historic by the National Register of Historic Places.  These include the Phelps Dodge Headquarters Building, the Muheim House, the Bisbee Women’s Club House, St. Patrick’s Roman Catholic Church and the Walter Douglas House.

Minthorn Hall: Minthorn Hall is an academic building on the campus of George Fox University in Newberg, Oregon, United States.  Built in 1887, the hall was moved ten blocks to its current location in 1892.  The three-story frame building is the oldest building on the campus of the school, and was the first building of the Quaker school.  Future President Herbert Hoover may have briefly lived in the structure prior to its conversion to a school building.  The hall was added to the National Register of Historic Places on June 13, 1997.

Loop Retail Historic District: Loop Retail Historic District is a shopping district within the Chicago Loop community area in Cook County, Illinois, United States.  It is bounded by Lake Street to the north, Congress Parkway to the south, State Street to the west and Wabash Avenue to the east.  The district has the highest density of National Historic Landmark, National Register of Historic Places and Chicago Landmark designated buildings in Chicago.  It hosts several historic buildings including former department store flagship locations Marshall Field and Company Building (now Macy's at State Street), and the Sullivan Center (formerly Carson, Pirie, Scott and Company Building).  It was added to the National Register of Historic Places on November 27, 1998.  It includes 74 contributing buildings and structures, including 13 separately listed Registered Historic Places, and 22 non-contributing buildings.  Other significant buildings in the district include the Joffrey Tower, Chicago Theatre, Palmer House, and Page Brothers Building.  It also hosts DePaul University's College of Commerce, which includes the Kellstadt Graduate School of Business and the Robert Morris College.

Concord Square Historic District: The Concord Square Historic District is a historic district on Park, Concord, and Kendall Streets, and Union Avenue in Framingham, Massachusetts.  It encompasses a portion of the town's central business district, extending from the junction of Concord and Union Streets south to the South Framingham Common, and then west along Park Street.  Most of the buildings in this area were built between 1890 and 1920.  The oldest building is the Wallace Nutting Factory at 46 Park Street, built in the early 1870s.  The district was added to the National Register of Historic Places in 1983.

Christ Church Cathedral (Indianapolis): Christ Church Cathedral is the pro-cathedral for the Episcopal Diocese of Indianapolis.  Christ Church parish was formally organized in 1837.  The present-day church building was erected in 1857 on Monument Circle at the center of downtown Indianapolis to replace the parish's first church built on the same site.  Designed by noted architect William Tinsley, the English Gothic Revival-style structure is the oldest church building in Indianapolis and Marion County, Indiana, that has remained in continuous use.  It is also the oldest building on Monument Circle.  Christ Church is known for its music, especially its pipe organs, one of which was donated by Ruth Lilly, and its professional Choir of Men and Boys and Girls' Choir.  The parish is also known for its community service, including an annual strawberry festival fundraiser and other charitable work.  Christ Church Cathedral was added to the National Register of Historic Places on July 10, 1973.  It is located in the Washington Street-Monument Circle Historic District.

Supporting paragraphs: McCarthy Building (Troy, New York) Cannon Building (Troy, New York)
Answer: McCarthy Building