These maps are from a large Rand McNally Atlas that was probably published in 1892 and again in 1897.  The copyrights on the maps range from 1888 to 1891.  I've included an image of the date of map for most maps.  Note that there is text on the other side of each map.  The maps are approximately 29 x 22 inches in size.  

The information that I came across indicated that the atlas from which this map comes from is the best that Rand McNally produced in the 19th century.

I've included foot rulers to help gauge the size of the map.  The cover page of the atlas is included for illustrative purposes.  The atlas came in two volumes, one covering the United States and Canada and the other covering the rest of the world.  While I was able to find copies of individual maps from the atlas online, I was unable to find complete copies of either volume.

The cardboard tube should hold more than one map reducing shipping costs.