You're nearly on the correct trail... the universe is estimated to be 14.5 billions of years old(Ga), while the Earth is around 4.5 Ga old. Additionally, thrown into the mix is that, within an unimaginably short period of time (known as Planck Time) after the onset of the event known as the Big Bang, space and all that is/was in it inflated to an equally unimaginable size... far exceeding the speed of light for a very short period of time. Thus, the material that later became stars was flung, so to speak these great distances. This is that which Hubble is now looking into back in time. This is, understand, a very simplified and unscientific explanation, but will have to suffice considering the space (pun only slightly intended) available for such an explanation in this forum...