Dear Baldeagle,
thank you very much for the info. It concurs with John Nieto's drawings kindly described by Alan Toelle. However the outer diameter of a rim was probably one inch bigger. According to John Nieto the dimensions were as follows:
diameter (with tire): 26"
rim diameter: 19"
tire thickness: 4"
hub inner diameter: 1.5"
hub depth: 6"
In fact 18" rim would be a little to small for a 4" thick tire.
As you have noted, the there were both wheels used simultaneously - with radial spokes and crossed spokes. The link provided by Sanjeev Hivre confirmed fully what you had stated. Both wheels can be seen at the photos taken by Ernest Thomas and Mark Miller. See tem at:
http://www.wwi-models.org/Photos/USA/JN4/index.html
Thank you again!
Tomasz