Mahabharata

Duryodhana named his twin son and daughter as

1. Laxman Kumara or simply Laxman 
2. He had a twin sister called Lakshmana

Links

http://en.wikipedia.org/wiki/Laxman_Kumara

http://vaniquotes.org/wiki/She_(Laksmana,_Duryodhana's_daughter)_was_a_very_highly_qualified_girl_of_the_Kuru_dynasty,_and_many_princes_wanted_to_marry_her._In_such_cases,_the_svayamvara_ceremony_is_held_so_that_the_girl_may_select_her_husband_according_to_her_own_choice

Viswamitra Wakes Up Rama

Usually, at the palace, Rama would be woken up with music. But that is not possible in the forest. Here, Viswamitra wakes Him up with His verses, beginning with the words, ‘Kausalya Supraja Rama.' 
http://en.wikipedia.org/wiki/Dakshina_Kosala_Kingdom
https://www.youtube.com/results?search_query=Kousalya+Supraja+Rama
But why does the sage compose verses to wake up only Rama and not Lakshmana? Rama is lying down on the grass, with Lakshmana beside Him. Lakshmana is an avatara of Adi Sesha, the serpent on which the Lord reclines. Could it be that Lakshmana has assumed the form of Adi Sesha, so that Rama can sleep on Him? Therefore, when Viswamitra comes to wake up Rama, he perhaps does not see Lakshmana, and so composes his verse to wake up Rama and not Lakshmana. This is one possible explanation.

Sambukumaran

http://publishing.cdlib.org/ucpressebooks/view?docId=ft5q2nb449&chunk.id=d0e1455
http://maddy06.blogspot.in/2011/04/surpanakha-story-of-woman-scorned.html

Wisdom Lib

http://www.wisdomlib.org/search.html?search_input=Lakshmana

Indrajit vs Ravana Practise

Durvasa

According to Valmiki Ramayan, Kaal came disguised as a sage to meet Ram. He put a condition that no body should enter that room so long Kaal was there or else, he (i.e. the intruder) should be given death punishment. Ram trusted his brother Laxman much more than the security person at the door. Therefore, Ram called Laxman and asked him to stand at the door instead of that security person. He also said that nobody should be allowed to enter that room or else the intruder would be given death punishment. Laxman did the same.

Sage Durvasa came and wanted to meet Ram. Remebering Ram's orders, Laxman requested Durvasa to wait. Durvasa got angry and threatened that he would curse the entire family of Laxman. Laxman thought, "It is better for me to get death punishment than so many people getting cursed." He went inside and informed Ram about Durvasa's arrival. By that time, Kaal had finished talking to Ram. Ram asked Laxman to bring Durvasa with respect. Kaal left and Durvasa entered. Ram provided hospitality to Durvasa. Durvasa went satisfied. Then Ram was very sad because he had to give death punishment to his dear brother Laxman. Vashishth and other sages suggested to Ram than banishing Laxman would be equivalent to death for him. Laxman heard this. Without saying anything to anybody and without even meeting anybody, he went to river and entered it. Lord Indra came to take him.

Illustration
http://www.speakingtree.in/spiritual-slideshow/seekers/god-and-i/when-rama-had-to-sentence-lakshmana-to-death/87270

Departure of all Brothers
http://www.astrojyoti.com/ramayanavalmikuttarakanda7-6.htm

Bhaskar

http://daily.bhaskar.com/search/?q=Lakshman

Devoted Brother Of Rama

http://www.sssbpt.info/summershowers/ss1977/ss1977-04.pdf

Why Urmila let Lakshmana go with Rama to the forest

http://www.speakingtree.in/spiritual-slideshow/seekers/god-and-i/why-urmila-let-lakshmana-go-with-rama-to-the-forest/95000