Located on the Upper East Side, on East 61st Street and Madison Avenue, the 1950s-era Carlton House, with its limestone-and-brick facade, has the kind of elegant appearance that only comes with age. Inside, however, are the luxuries that one would expect of a brand-new build, thanks to a meticulous restoration being overseen by the New York architecture firm Beyer Blinder Belle. Charged with decorating the interiors is the Toronto-based firm Katherine Newman Design, whose selections for the property’s 68 two- …