1. What do the following names have in common?

DAVIS
TEXAS
CAROL
LEVIS

2. What do the following words have in common?

EACH
LODE
ROVE

Answers:

1. The two vowels in each name can be revered to form new words:

DAVIS - DIVAS
TEXAS - TAXES
CAROL - CORAL
LEVIS - LIVES

2. Each of the word can be preceded by IMP to make a new word:

EACH - IMPEACH
LODE - IMPLODE
ROVE - IMPROVE 

Credit:
1: Jefffrey Wechsler