What is the ruling on naming a newborn girl "Elian"?

The name "Eliyan" is not found in dictionaries, and it is likely a foreign name. A Muslim should not use foreign names unless their meaning is known, as they might carry a bad connotation or a slogan that contradicts religion and morals. The ruling on whether a name is permissible or forbidden depends on knowing its meaning and intent. If it is known that it does not contradict religion and morals and does not contain a bad meaning, then there is no harm in naming with it.