What does Vedika mean?
From the Sanskrit वेदिका (vedikā), 'a sacrificial altar, raised platform', and in architecture the railing enclosing a sacred space. The popular 'knowledgeable woman' gloss (via veda, 'knowledge') is a folk etymology, not the dictionary sense.
What does Gauri mean?
From the Sanskrit गौरी (gaurī), 'fair, white, brilliant'. It is a classic epithet of the goddess Parvati, consort of Shiva, in her radiant form.