Once nirvana is reached is there any connection to earth available? In Buddhism what information is there regarding the ability to communicate back to Earth from those who have transcended and reached Nirvana?

Is it possible or probable that those who attain Nirvana, die, and reach Parinibbana would/could try to help guide others?
The short answer is no.

When the Buddha attained Nirvana, he exclaimed (Dhammapada 153 - 154):


  Through many a birth in samsara have I wandered in vain, seeking the builder of this house (of life). Repeated birth is indeed
  suffering!
  
  O house-builder, you are seen! You will not build this house again. For your rafters are broken and your ridgepole shattered. My
  mind has reached the Unconditioned; I have attained the destruction of
  craving.


Explanation:


  According to the commentary, these verses are the Buddha's "Song of
  Victory," his first utterance after his Enlightenment. The house is
  individualized existence in samsara, the house-builder craving, the
  rafters the passions and the ridge-pole ignorance.


So, thereafter, he would no longer be born again in any world or in any form again. Hence, there is no way that he can communicate with Earth directly. So, how does the Buddha reach people now?

From the Vakkali Sutta:


  "For a long time, Lord, I have wanted to come and set eyes on the
  Blessed One, but I had not the strength in this body to come and see
  the Blessed One."
  
  "Enough, Vakkali! What is there to see in this vile body? He who sees
  Dhamma, Vakkali, sees me; he who sees me sees Dhamma. Truly seeing
  Dhamma, one sees me; seeing me one sees Dhamma."


This means that when one sees his teachings, one sees him.

And from the Mahaparinibbana Sutta:


  Then the Blessed One said to Ven. Ananda, "Now, if it occurs to any of
  you — 'The teaching has lost its authority; we are without a Teacher'
  — do not view it in that way. Whatever Dhamma &amp; Vinaya I have pointed
  out &amp; formulated for you, that will be your Teacher when I am gone.