class.cs

public class NamesGenerationRecord
{
    [JsonProperty("id")]
    public string Id { get; set; }
    [JsonProperty("data")]
    public IList<JObject> GeneratedNames {get; set; }
    public override string ToString()
    {
        var data = new JObject(
            new JProperty("id", Id),
            new JProperty("data", GeneratedNames.Select(x => new JObject(
                new JProperty("name", x)
            )))
        );
        return data.ToString();
    }
}