This post is an effort to ask a more direct question related to my other recent post (Picking Out Simple Properties from Hierarchical JSON Part II):
Given nested JSO
How about something like this:
List list = 
    JObject.Parse(json)
           .Descendants()
           .Where(jt => jt.Type == JTokenType.Property && ((JProperty)jt).Value.HasValues)
           .Cast()
           .Select(prop =>
           {
               var obj = new JObject(new JProperty("Name", prop.Name));
               if (prop.Value.Type == JTokenType.Array)
               {
                   var items = prop.Value.Children()
                                         .SelectMany(jo => jo.Properties())
                                         .Where(jp => jp.Value.Type == JTokenType.String);
                   obj.Add(items);
               }
               var parentName = prop.Ancestors()
                                    .Where(jt => jt.Type == JTokenType.Property)
                                    .Select(jt => ((JProperty)jt).Name)
                                    .FirstOrDefault();
               obj.Add("Parent", parentName ?? "");
               return obj;
           })
           .ToList();
   
Fiddle: https://dotnetfiddle.net/FMxzls
If you're not that familiar with LINQ-to-JSON, here's how it breaks down:
Parse the json string into a JObject
JObject.Parse(json)
From that JObject, get all of its descendant JTokens
       .Descendants()
Filter that list to only JProperties whose values have children
       .Where(jt => jt.Type == JTokenType.Property && ((JProperty)jt).Value.HasValues)
Cast the JTokens to JProperties to make them easier to work with in the next step
       .Cast()
 Now, for each JProperty we selected, transform it as follows:
       .Select(prop =>
       {
Create a new JObject and add the JProperty's name as the Name property of the new object
           var obj = new JObject(new JProperty("Name", prop.Name));
If the value of the JProperty is an array...
           if (prop.Value.Type == JTokenType.Array)
           {
Get all the direct children of the array which are JObjects
               var items = prop.Value.Children()
 From those JObjects, get all the JProperties
                                     .SelectMany(jo => jo.Properties())
Filter those JProperties to include only the ones whose values are strings)
                                     .Where(jp => jp.Value.Type == JTokenType.String);
Add these item JProperties to the new JObject we created earlier
                obj.Add(items);
            }
Next, find the first ancestor JProperty of the current JProperty and get its name
            var parentName = prop.Ancestors()
                                 .Where(jt => jt.Type == JTokenType.Property)
                                 .Select(jt => ((JProperty)jt).Name)
                                 .FirstOrDefault();
Add the parent name to the JObject we're are building; use an empty string if there was no parent
            obj.Add("Parent", parentName ?? "");
Continue with the next transform
            return obj;
        })
Lastly put all the JObjects we built into a list.
        .ToList();