How you go about correcting this depends somewhat on the result you are
currently getting.
If the whole print is showing fairly even tint (meaning the same basic
hue is appearing in all ink densities) then it is easier to fix. If the
toning changes depending upon how dense the color is, that is a problem
that can't be corrected universally, and will require some pretty
complex corrections in curves.
To create (as close to) a perfect greyscale image from colored inks,
assuming the inks are properly balanced for color to begin with, equal
amount of the "primary" printing colors are needed. In other words,
equal quantities of Cyan, Magenta and yellow should produce something
approaching grey/blacks. With most inkjet printers trying to accomplish
this isn't easy, because they complexity of the drivers, especially when
mixed dye load inks are used (such as light magenta and cyan inks) are
used in different concentrations depending upon the density of the color
area in the image. As you probably noticed, inkjet printers which use
light dye load Cyan and Magenta don't have a light dye load yellow. The
logic behind this is that the yellow is such a light color that diluting
it further is unnecessary, but none the less, excess yellow can lead to
yellow or golden tinting.
The best way to produce a greyscale image is by using an inkjet printer
which is equipped with black ink and several levels of grey inks, and
special drivers that understand how to translate greyscale.
The second best is black plus at least one grey ink. With some
printers, even using just the black ink, especially if the dots are
quite small, can provide a reasonable greyscale image, without tinting.
Some printer drivers allow for that option (something like "use black
ink only"). I know most Epson printers allow for this, and although the
tonality isn't perfect, even just using black ink can produce an
acceptable greyscale image.
Getting back to your sepia/brown tones; they are usually missing cyan
and some magenta. Without seeing the exact sepia tone, however, it
could need fine adjusting.
Below I am supplying a simplified chart of print color and corrective
color required.
If print is "biased" toward ------ add this to correct toward neutral
red Cyan
yellow blue (cyan and magenta)
green magenta
blue yellow
magenta green (cyan and yellow)
cyan red (magenta and yellow)
Sepia usually has extra yellow and red, meaning you need more blue (made
up of cyan and magenta) and cyan, so by adding nearly twice as much cyan
as magenta in the driver should help to correct it, but it is often no
"walk in the park" to match.
Art