Based on the provided information, there is no specific data available concerning an artist named Louise Meyer with the lifespan of 1789-1861. The supplied texts explicitly state that no direct information was found regarding her biography, artistic career, representative works, artistic style, or her position within art history.
The materials mention a Louise Michel (1830-1905), a notable French figure known for her work as a teacher and her significant involvement as a social activist, particularly during the Paris Commune. However, her life dates and primary field of activity do not align with the query for an artist named Louise Meyer (1789-1861).
Due to the absence of any relevant details about Louise Meyer (1789-1861) as an artist within the provided context—including her artworks, contemporaries, or anecdotes—it is not possible to construct the requested comprehensive article. Further research from art historical archives, catalogues raisonnés, or biographical dictionaries specializing in artists of that period would be necessary to determine if such an artist existed and to gather the information required for an in-depth profile.
Without foundational information, any attempt to write an extensive article detailing her artistic contributions, representative pieces, interactions with other painters, or her overall impact on art history would be purely speculative and would not meet the standards of historical accuracy.