What's the difference between elsewhither and whithersoever?

Elsewhither

Definition:

• (adv.) To some, or any, other place; as, you will have to go elsewhither for it.

Example Sentences:

Whithersoever

Definition:

• (adv.) To whatever place; to what place soever; wheresoever; as, I will go whithersoever you lead.

Example Sentences: