http://www.adamsavenuedesign.com/jyotirlingam-shiva/

RAMESHWARAM,..why not?
Why is it called "RAMESHWARAM", when the Shiva linga was made by Mother Sita? The story is this;:
The jyotirlingam was worshipped by Lord Rama to atone the sin of killing Ravana. Hanuman flew to bring the Linga from Kailasa, for Lord Rama to wroship. As it was getting late, Rama worshipped the Lingam that was made of sand by Sita Maa. This Lingam worshipped by Lord Rama is known as Ramanathar. When Hanuman returned he was disappointed that his Lord had not used the Lingam that he had brought. Lord Rama pacified Hanuman & named this Lingam Kasi Viswanathar
Hey, i asked this in Y!A India,...
Prince :-You have cleared your own doubt.When you write it in English;-
>Rama(Lakshmi=Sita) + Eeswara=Rameswara>Rameswaram.
>Raama(Lord Raama)+Eeswara=Raameswara>>Raameswaram.
Eeswara Uvaacha:-"Sri Raama,Raama,Raama ithi Ramay, Raamay, Manoramay" so in Rameswaram--Raameswaram both Rama(Sita) and Raama are there.
Your version of the story is widely believed.It is HISTORY(Aithikaasam) --not Metaphor. .
Trimbakeshwar Jyotirlinga Shiva Temple Live