Hi Jayanta,
Thanks for your response.
I also saw that article and was going to reference it but decided against it because it is from 2010 and the work flow did not provide what I am seeking, unless I am doing something incorrectly, which is entirely possible.
The lyr package appeared in my ArcGIS Online Contents after I published it but there is no associated URL in the any of the tabs in the Item Details and I could not even add it to the Map View.
If you look at the comments at the bottom of the article, it seems that other users had the same experience that I did in discovering that this method only allows for sharing with ArcGIS Desktop users.
Please correct me if I at error and let me know where in ArcGIS Online I can find the WMS URL for the layer.