We don't have synonyms for brougham yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are brought, brough and brigham.
°a four-wheeled horse-drawn carriage, designed in 1839. It had an open seat for the driver in front of the closed cabin for two or four passengers.
"1891: "Yes," he continued, glancing out of the window. "A nice little brougham and a pair of beauties." -- Arthur Conan Doyle, 'A Scandal In Bohemia' (Norton 2005 p.12)"
°an automobile, a sedan without a roof over driver's seat.
°a four-wheeled horse-drawn carriage, designed in 1839. It had an open seat for the driver in front of the closed cabin for two or four passengers.
"1891: "Yes," he continued, glancing out of the window. "A nice little brougham and a pair of beauties." -- Arthur Conan Doyle, 'A Scandal In Bohemia' (Norton 2005 p.12)"
°an automobile, a sedan without a roof over driver's seat.