she was left with her two sons

"Naomi had only her two sons with her"

took wives

"married women." This is an idiom for marrying women. They did not take women who were already married. (See: rc://en/ta/man/translate/figs-idiom)

Naomi's sons married women who were from the tribe of Moab. The Moabites worshiped other gods.

"the name of one woman ... the name of the other woman"

Ten years after Elimelek and Naomi came to the country of Moab, their sons Mahlon and Kilion died.

Naomi was widowed.