Partial answer here from official TTD website.
Some excerpts from the evidences he has put forth to media-
In the Valmiki Ramayana, from Sundarakanda episode in the Shlolas from 81-83 of 35th Sarga, it was clearly mentioned that since Hanuman was born to Anjana on these sacred mountains after a penance, He attained the name Anjaneya while the Hillock got the name Anjanadri.
Rock inscriptions at Srivari temple of 1491 and 1545, both mention the Anjanadri as birth place of Anjaneya.
Vyasa Mahabharata, Vanaparva, 147 Chapter, Valmiki Ramayana-Kishkinda Kanda – 66th Sarga (Chapter), Shiva Puranam, Shata Rudra Samhita-Chapter 20, Brahmanda Puranam-Sri Venkatachala Mahatyam-Thirtha Khandam-Chapter 1, Skanda Purana, Vaishnava Khand-1.38, Epigraphica Indica, Vol VI, page 323.
Anjanadri Mahatyam…a book available at London Library clearly explains Anjanadri as the birthplace of Hanuman.
He also referred to Kamba Ramayanam-Kishkindakandam, Hamsa Dootam etc.which also explained the same.