using System;

using System.Linq;

using Newtonsoft.Json.Linq;

​

public class Program

{

    public static void Main()

    {

        string responseString = @"[

                  {

                  ""Animal"":""Donkey"",

                  ""Colour"":""Red"",

                  ""Id"":""One""

                  },

                  {

                  ""Animal"":""Elephant"",

                  ""Colour"":""Blue"",

                  ""Id"":""Two""

                  },

                  {

                  ""Animal"":""Tiger"",

                  ""Colour"":""Yellow"",

                  ""Id"":""Three""

                  }

                ]

             ";

        JObject jo = JObject.Parse(responseString);

        JToken token = (jo["Value"] as JArray).FirstOrDefault(x => x.Value<string>("Id") == "Three");

        Console.WriteLine(token);

    }

}