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.
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.