Linguistics: Bruce Warren suggests that several Jaredite names have been retained in Mesoamerica:
Kib [Ether 7:3]: Name of the sixth month in the Yucatec Maya calendar.
Shule [Ether 7:7–8]: Name of the sixteenth day of the 260-day calendar in Yucatec.
Akish [Ether 8:10–11]: Close parallel to the Quiche Maya kaqix (Caquix) of the Popol Vuh. The name combines kaq “red” and qix “feather” and means the scarlet macaw parrot (the x in Mesoamerican words and names is pronounced as sh is in English).
Com [Ether 10:31–32]: Tzotzil Maya for “log stool” or “armadillo.”
Kish: Two meanings for this word are available: (1) “kix” in Yucatec and Chol Maya, meaning “spine,” “thorn,” and maybe “stingray spine” and (2) “kix” in the Palenque hieroglyphs “feather”…
Shiblon [Ether 1:11–12; Alma 11:15, 38:5]: The Shib or Xib part of the name is very common in Yucatec Maya—for example, Chak-Xib-Chak, EkXib-Chak, Sak-Xib-Chak, Kan-Xib-Chak, etc.
These names are certainly similar to Maya, but Maya is a completely different language from that spoken in Olmec/Jaredite lands. The language that would have provided parallels would have been Mixe-Zoque. The suggested parallels are something like finding words in modern German that resemble terms in classical Latin. Loan words are possible, but the two languages are distinct in time and place. Until historical reconstruction shows that each of these words is related to Mixe-Zoquean we should ignore such superficial linguistic speculation. Even if we presume that the later Mosiah or Moroni “translated” the names, the most likely language of the Nephites after reaching Zarahemla would be, not Maya, but Zoquean, a language descended from Mixe-Zoque, so little change would be likely. (See Ether, Part 1: Context, Chapter 1, “Historical Background of the Book of Ether.”)
Chronology: According to the king-list chronology, Kib reigned from ca. 1040 to 1010 B.C.