Natural tennis ability is really just structured practice. A player practices for 10,000 hours for example, his game looks natural, but that isn't talent, it is practice.
Athletic ability is something that is worked on and can be affected hugely by what an individual does. Basketball Canada has a program called the long-term athlete development plan, which can be found below. Again, with some guidance, this is hard work.
I don't really know what you mean by sporting ability? Do you mean mental training? That is again discussed in the LTAD for basketball, I am sure tennis coaches have something similar. I don't coach tennis.
Hand-Eye Ability is spacial awareness, and again is developed by hard work.
There is no such this as talent. Talent is a word that is used by those who did not work hard enough for whatever reason (often out of their control), or those who did not have proper coaching at the proper age. There is of course some luck involved in becoming a top athlete, for example, height, eyesight, things like that, but hard work is what produces what we see, not a magical thing called talent.