The exact routes you'd need to follow are relatively straightforward, but the final choices depend on whether you're ding a loop out of Memphis, a continuation of your RoadTrip to Nashville from Memphis, or some combination of the two. So I'll just describe the various legs and let you string them together as suits you.

From Memphis to Tupelo it's just US-78 which connects the two cities directly. In Memphis you can get on US-78 either downtown where it is Lamar Ave., or from the beltway (I-240) where US-79 is at Exit 21 on the southeast side of the city.

Between Tupelo and Shiloh you'd take US-45 (Martin Luther King Dr.) north for about 60 miles into Tennessee and then take TN-57 east to TN-22 north for about a dozen miles to where it joins TN-142. The battlefield is just north of that junction, on your right.

To get back to Memphis from Shiloh, go back out to TN-22/TN-142 and continue north to Crump TN and US-64 west back to Memphis.

To continue from Shiloh to Nashville, turn right instead at Crump and take US-64 east for about 45 miles to Highland TN and get on the Natchez Trace Parkway north. That will eventually bring you out on TN-100 to US-70S into the city.

The final possible leg is the easiest. From Nashville to Memphis just use the motorway I-40 which directly connects the two cities.

A word about route markings may be in order. In the British Isles directional signs are primarily based on pointing you towards the next cities/towns along the route with only secondary emphasis on route numbers. In the US, it is just the opposite with directional signs often just showing you which way the road goes and not necessarily mentioning any towns at all.

AZBuck