My copy of the 2e rules has that map in it. However, there are a lot of problems with that map.
Here are some starters:
A.
Khauran is missing a river and has mountains too close to it.
B. Stygia is too small.
C. The
Black Kingdoms are too small.
D.
Aquilonia is too big &
Nemedia is too small.
E. There are two
Karpash Mountain ranges (there should be one)
F.
Khitai is in a temperate zone.
G.
Kosala is on the wrong side of
Vendhya.
H. Pathenia is too far north (it should be where Mongolia would be)
I.
Kush is the wrong shape.
J. The
southern desert is too small.
K. There is no
Atlaia or
Amazon (REH said both exist there)
L. Keshan is on the wrong side of the Styx.
M.
Zamora is the wrong shape.
N. Rabiran Mountains are placed wrong.
O. Goralian Hills should be in
Aquilonia, not
Cimmeria.
P.
Hyperborea is too big.
Q.
Brythunia is the wrong shape.
R. Mu? Why is that in the corner?
S. Lake Zuad is in Stygia, not
Kush.
T. Sukhmet borders
Darfar, not
Kush.
U. Taian Mountains (at corner of Styx) are too massive.
V.
Vendhya is placed wrong.
W.
Uttara Kuru is in the wrong place.
X.
Kordufan (mentioned by Howard) is not on the map.
Y. Korvela is too far north.
Z.
Ilbars River is incorrectly placed.
AA.
Zaporoska River is horribly misplaced.
BB.
Hyrkania does not reach the eastern shore as it should.
CC. Where are the Golden Kingdoms on that map?
DD.
Black Coast is too short.
EE.
Southern Isles too far north.
FF.
Zamboula is WAY too far north.
GG. Haunted pyramids should be in Stygia.
HH.
Shadizar in the wrong place.
II. Plain of Pallos should be in
Argos, not
Zingara.
JJ. Border Range too far east.
KK.
Kothian Desert should be smaller and at the southern point of
Corinthia.
LL. Trallibes should be on the other side of the Barachan Isles.
MM.
Kharamun Desert too far north.
NN. If
Tombalku really were that close to the Zarkheba, then Conan and Belit must have gone past it on the way to the ruins where Belit died. That seems unlikely.
OO. Jeluba River completely misplaced - should be around
Tombalku, not in Stygia.
and so on...
Interestingly, the
Return to the Road of Kings has a new map which fixes a lot of those errors - and puts in a whole bunch of brand new errors to replace them... but that is another story.