Question: The Brauroneion was the sanctuary  of an ancient deity that the Arcadians believed was the daughter of who ?

Context paragraphs:
Melpeia: Melpeia (Ancient Greek: Μέλπεια ) was a village in ancient Arcadia, situated on the mountain Nomia, which is a part of the mountain Lykaion.  There was a sanctuary of the Nomian Pan, who is said to have discovered the pan flute here.  According to the Arcadians, the name "Melpeia" was derived from the nymph "Melpeia".  It was situated near Lycosura.

Temple of Anahita, Kangavar: The Anahita Temple (Persian: معبد آناهیتا or پرستشگاه‌ آناهیتا‎ ‎ ) is the name of one of two archaeological sites in Iran popularly thought to have been attributed to the ancient deity Anahita.  The larger and more widely known of the two is located at Kangāvar in Kermanshah Province.  The other is located at Bishapur.

Brauroneion: The Brauroneion was the sanctuary of Artemis Brauronia on the Athenian Acropolis, located in the southwest corner of the Acropolis plateau, between the Chalkotheke and the Propylaia in Greece.  It was originally dedicated during the reign of Peisistratos.  Artemis Brauronia, protector of women in pregnancy and childbirth, had her main sanctuary at Brauron, a "demos" on the east coast of Attica.

Pakhangba: Pakhangba is the supreme God of the Meetei tradition that is used as a heraldic emblem in Manipur.  It was present in most emblems of the Princely state of Manipur and it originated in Paphal, an ancient deity of the traditional beliefs preceding Hinduism in the region.  This creature was said to inhabit sacred ponds and groves, as well as mountains, rivers, lakes, forests and caves.  Among the Meitheis, the ancestor of one of the clans manifested himself as the Pakhangba.

Malai Mahadeshwara Wildlife Sanctuary: Malai Mahadeshwara Wildlife Sanctuary or Male Mahadeshwara Wildlife Sanctuary is a protected Wildlife sanctuary in the Eastern Ghats and is located in the state of Karnataka in India.  It is named after the presiding deity "Lord Male Mahadeshwara" of the famed "Malai Mahadeshwara Hills Temple" located within the sanctuary.  The sanctuary lies in the Chamarajanagar district of Karnataka.  It is at a distance of 140 km from Mysuru and 210 km from Bengaluru.

Artemis: Artemis ( ; Greek: Ἄρτεμις "Artemis", ) was one of the most widely venerated of the Ancient Greek deities.  Her Roman equivalent is Diana.  Some scholars believe that the name, and indeed the goddess herself, was originally pre-Greek.  Homer refers to her as "Artemis Agrotera, Potnia Theron": "Artemis of the wildland, Mistress of Animals".  The Arcadians believed she was the daughter of Demeter.

Ishara: Ishara ("išḫara ") is an ancient deity of unknown origin from northern modern Syria.  She first appeared in Ebla and was incorporated to the Hurrian pantheon from which she found her way to the Hittite pantheon.

Someshwara Wildlife Sanctuary: Someshwara Wildlife Sanctuary is a protected wildlife sanctuary in the Western Ghats of Karnataka state in India.  It is named after the presiding deity "Lord Someshwara" of the famed Someshwara temple located within the sanctuary.  The sanctuary lies in Udupi & Shivamogga districts of Karnataka, below Agumbe.  The sanctuary houses Sitanadi nature camp run by Karnataka Forest Department.  Udupi to Agumbe road passes through this wildlife sanctuary.  The nearest town is Hebri which is connected by bus service to Udupi, Mangaluru and Bengaluru on a daily basis.

Māras: Māras (] ) or Māra Day (sometimes referred as Great Māra Day or Mother Day) was a Latvian festival, devoted to Māra, an ancient deity, and was celebrated on 15 August.  According to solar calendar, Māras marks the midpoint between Jāņi, which is summer solstice, and Miķeļi, that represents the end of the harvest season.  The actual date, likely, is the result of Christian influence, identifying Māra with Virgin Mary, whose devoted holiday (Assumption of Mary) is observed on 15 August.

Agapenor: Agapenor (Ancient Greek: Ἀγαπήνωρ , "gen." Ἀγαπήνορος) was a leader of the Arcadians in the Trojan war.  He was a son of Ancaeus, and grandson of Lycurgus.  As king of the Arcadians he received sixty ships from Agamemnon, in which he led his Arcadians to Troy.  He also occurs among the suitors of Helen.  He was one of the men to be in the Trojan Horse.

Supporting paragraphs: Brauroneion Artemis
Answer: Demeter