
The problem with that is that water in our oceans has the same molecular makeup as water in asteroids (yes, asteroids, not comets). "Molecular makeup," you ask, "isn't water just H20, how can that vary?" Well, a hydrogen molecule can have extra protons and neutrons. In the case water on Earth, much of it has an extra neutron and proton. This type of hydrogen scientists refer to as "heavy hydrogen" or "deuterium."
Worth noting is, according to a Wikipedia entry, the Earth was formed within the Solar System's "snow line" (which exists about where the Asteroid Belt is). Within the snowline, you're close enough to the sun that water is vaporized. Outside of that line, it's cold enough that water is turned to ice. Of course, if water is vapor, it's tough for a small planet or moon to attract and keep it.
As the Earth formed, much of the water present (yes there was some) was "outgassed" and drifted away in the solar wind. It wasn't until the Earth got much larger that its gravity was capable or retaining the original water which continued to seep from the interior of the Earth via volcanic activity. But that would only account for some of the water we have today.
The Wikipedia entry also acknowledges extraterrestrial sources like asteroids and homemade sources like photosynthesis. Indeed, early life synthesizing hydrogen sulfide (H2S) and carbon dioxide (CO2) would have released H20 (and some other stuff).
Another possibility according to the Wikipedia write-up, the massive object that (probably) collided with the Earth 4-point-some-billion-years-ago creating the Moon may have been an icy planetoid like Jupiter's moon Europa. But Pound360 wonders how that might have happened since this frozen wanderer would have had to drift from beyond the Solar System's "snow line," right? And that means it would have had to escape Jupiter's tremendous pull, which seems to us (in our pretty limited understanding of astrophysics) unlikely.






