According to the army spokesman Col Sani Usman, Serah Luka was among 97 women and children rescued by troops in such operations in the north-eastern Borno State.
In November, Boko Haram killed 18 people and injured 11 others during a raid in the village of Wogom, close to Bosso.
Nkeki, 19, was found with her four-month-old baby by soldiers working with a vigilante group on Tuesday near Damboa, south of Maiduguri in the remote northeast where Boko Haram has waged a seven-year insurgency to set up an Islamic state.
The girl rescued earlier this week told a Chibok community leader that six of the kidnapped girls had died but the rest were still in the Sambisa forest where she was found.
An official who spoke under condition of anonymity said the woman was rescued from the Boko Haram troops by her "husband".
More questions popped up when the news that the second girl found was in JSS1 against the established information that only girls who were in school to take their WAEC examination was abducted.
In a statement issued by Plan International Nigeria, the Country Director, Dr. Hussaini Abdu called on the government to sustain the effort of rescuing the remaining girls still in captivity of the Boko Haram alive.
The name of the Chibok schoolgirl now with the Nigerian army was given as Serah Luka, and she was quoted as saying three other girls ran from their captors following the military operations.
The head of the Abducted Chibok Girls Parents group, Yakubu Nkeki, said unlike the first announcement about Amina, the military had not contacted them beforehand to establish the second girl's identity.
Akume, in the statement, said; 'We are excited with the news of yet another rescued Chibok girl.
"We are happy and excited about Serah's rescue, including that of the others rescued with her because she is an innocent victim of Boko Haram just like our daughters". With the return of two missing Chibok girls, many are hoping that army will find the remaining girls soon.
But activists and residents in Chibok, the town where up to 276 female secondary school students were abducted on the night of April 14, 2014, noted the girl's name is not on the families' list of missing persons.
Nkek met with Nigerian President Muhammadu Buhari on Thursday.
Buhari was visibly delighted that Nkeki and her baby had been rescued, but expressed his sadness at the atrocities the young women had suffered.
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