I would expect the same as Nick, very Napoleonic looking.
It might be worth looking for illustrations by Joseph Hefter, late Mexican illustrator of things military. He illustrated a book of Uniforms of the Mexican Soldier 1837- 1848, but did lots of earlier and later stuff too. I remember having a copy of a set of prints by him, Lord knows where they are now. I'll have a dig when I get chance and see what I can find (no promises).
In the late eighteenth century Presidial lancers were wearing the quilted coat and carrying those weird big shields, I seem to remember, so maybe still in 1807-1831. I remember an illustration by Ron Embleton showing a pretty similar uniform for presidials in the 1820s.
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