The article does not mention names of any Sanskrit speaking villages in Andhra Pradesh.
It even says, "In recent times, the popularity of Sanskrit has increased in the North and some parts of the South, except in Andhra Pradesh"
Even the Muslims of Mattur converse in Sanskrit.Mattur, a village close to Shimoga in Karnataka.
So, "In Andhra Pradesh too there are a few villages where Muslims speak Sanskrit. " can be taken to mean that some Muslims in some villages of Andhra Pradesh are so much learned in Sanskrit, that they can even speak Sanskrit.
To my knowledge, there are no Sanskrit speaking villages either in the present residual Andhra Pradesh or earlier undivided Andhra Pradesh.
Nagaraj
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Prof.Nagaraj Paturi
Hyderabad-500044