A more thorough explanation:

elope, verb

1. to run away; escape
2. to abandon one's husband and run away with a lover (archaic)
3. to run away secretly for the purpose of getting married, often without parental consent

elopement, noun

John and Jane decided to elope to Las Vegas to get married without their parents' knowledge or consent.

This example illustrates the third definition of elope, where a couple runs away secretly to get married without parental consent.

elsewhere, adverb

In another place.

In shipping articles, this term, following the designation of the port of destination, must be construed either as void for uncertainty or as subordinate to the principal voyage stated in the preceding words.

After searching for her lost keys at home, Sarah decided to look elsewhere and retraced her steps to the grocery store where she found them.

This example illustrates the use of elsewhere to mean in another place, where Sarah looked for her keys in a different location than her home.