Well, this title wenkui, or 文魁 in Chinese, was conferred on people who passed tests in the Provincial Examination and ranked the 7th or below it. Provincial Examination, or 乡试 in Chinese, belonged to Imperial Examination System. This title 文魁 was mentioned in a book 清代科举考试述录及有关著作, which could be translated into English as Narration and Related Works about Imperial Examination System in Qing Dynasty.
Here is the original excerpt in Chinese:”第一名解元, 第二名亚元, 第三、四、五名经魁, 第六名亚魁, 余曰文魁.” With regard to how person obtained this title in the past, they needed to first pass Apprentice Exam, or 童试 in Chinese, which had three levels of exams, i.e., County Examination, or 县试 in Chinese, Prefecture Examination, or 府试 in Chinese and Academic Examination, or 院试 in Chinese. Then they could take tests in Provincial Examination. Once they passed this and ranked the 7th or below it, they were conferred on a title as 文魁.
Here is a picture showing a wooden plaque featuring two Chinese characters 文魁 in a bigger font. And this plaque was made in 1876, which was during the reign of Guangxu Emperor, or 光绪帝 (1871–1908) in Chinese, whose reign lasted from 1875 to 1908.
