From what I read online, the Telugu script and other modern Indic scripts (e.g. Devanagari, Bengali-Assamese, Tamil) are all derived from an older Indic script referred to as the Brahmi script. And most linguists and historians today believe from the historical evidence that the Brahmi script itself has its origins from a Semitic script (likely Aramaic). See the link below.
In terms of the Georgian script, the origins of that script are still poorly known. Some speculation indicate influences from the Greek script or Semitic alphabets (not inconceivable, given the geographic proximity between ancient Georgia and Near Eastern civilizations).
Now as far as the Laotian script is concerned -- the Lao script (as with the Thai script) was adapted from the Khmer script, which itself was adapted from the ancient Pallava script of southern India, which in turn was adapted from the Brahmi script I mentioned earlier.