Merana is raised to the shawl in 953 NE. (LoC,Ch43)
In 961 NE Merana negotiates the Fifth Treaty of Falme between Arad Doman and Tarabon covering the peaceful disposition of Almoth Plain. The treaty fails almost immediately. (LoC,Ch43)
Merana and Rafela report to Rand that they have made a Bargain with the Sea Folk. Merana has a ta'veren attack and tells Rand what she really thinks when he is unreasonable. (TPoD,Ch27)
LoC,Ch43 - Merana and Alanna are about the same strength. Merana was a novice for five years while Alanna took six. Merana, however, is much older so she naturally holds precedence.
LoC,Ch43 - Merana and Verin were both novice for five years and Accepted for six. They are the same strength, but Verin is much older which normally would give her precedence.