I am guessing this image is actually in Australia, in a rural area
"Alice Creek Nature Refuge", west of Brisbane?

I would suggest talking to the people who published this and asking them
for the CRS.  At least trying.  I find it very puzzling that it's close
to 3857 but not really.  I'd expect some UTM in some version of GDA, or
some conventional grid that's TM or Lambert Conformal Conic or similar,
analogous to the US "State Plane Coordindate System.  But maybe it's
published for normie web mapping.

When you say "without the jgw", do you mean you put the JPG file in a
directory (without the jgw file in the directory!!) and then try to add
the file in the georeferencer?   You can do this without having the file
as a layer - that's what I've always done.

I also suggest trying the same thing with 3.44.x, on a different
computer if necessary to avoid messing up your installation.  I switch
back and forth to test the in-progress qgis4 packaging, but I'm using
pkgsrc on NetBSD and I don't know what OS you are on, so that may be
harder.


The jgw file is odd.  The first 4 are, AIUI, supposed to be a rotation
matrix between pixels and the CRS.   Then the coordinates of I think the
upper left pixel (either center or upper left of it, don't remember).
Your per-pixel sizes are 2.69 (projected units per pixel, I think -
been a while), which seems normal enough, but there are values of

  -4.946801637500726e-16

for the cross terms (easting for verticla change, northing for
horizontal change).  This is effectively zero.  I would not expect it to
be confounding.  You could try with a jgw file with those modified to
0.0000000000.

When I look at tfw file for a US historic topo map, the first 4 values
are:
            2.6822400000
            0.0000000000
            0.0000000000
           -2.6822400000

but there is a .prj file which is the original map projection, so by
definition it is lined up precisely.

Not that my projection file could possibly be relevant to .au, but FWIW
it's

PROJCS["Polyconic",GEOGCS["GCS_North_American_1927",DATUM["D_North_American_1927",SPHEROID["Clarke_1866",6378206.4,294.9786982]],PRIMEM["Greenwich",0],UNIT["Degree",0.017453292519943295]],PROJECTION["Polyconic"],PARAMETER["latitude_of_origin",0],PARAMETER["central_meridian",-71.5625],PARAMETER["false_easting",0],PARAMETER["false_northing",0],UNIT["Meter",1]]
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