Hello MrAl,
Thanks a lot for your valuable input. I had this part of your suggestion in mind while winding the toroid. However, it somehow slipped off

....Anyways, I will give this a try with my other 3E25 toroid after undoing the present winding.
Now, I have some good news for Spec!! Yesterday, I was just testing the type 77 ferrite toroid with my JT. Sometime back, I had wound the primary on top of the secondary of this toroid with some 4-5 turns using a hookup wire (may be 24 or 25 SWG) and 14-15 turns with 30 SWG and 300+ turns for the secondary with 30 SWG. To my surprise the 3W led bulb lit up brightly off one 1.2 volt AA NiMH cell. Then I went forward and added a BD139 in parallel with TIP41C. It further improved the brightness! The light ran steadily for 3.5 hours plus before it dimmed and stopped finally. I then realized that the battery I was using was not fully charged. So, it was certainly an impressive progress and I was glad with the results. The hint from Spec did prove useful in this case.
I am now going to get a 0-500 mA analog DC ammeter to measure the current draw from the battery. I do not understand why it goes out of scale when I try to measure the DC current with my DMM using the 10A scale.
Before, I finish this reply, one question for you all...spec had advised to use TIP35x transistor for better performance. However, please let me know your views on using the 2N3055 (metallic one) transistor.
Thank you again for all your time.
Kind regards,
Raj