I deeply regret to inform you that your information does not meet the minimal standards of veracity that I expect.
I checked out all 11 LDS Pedigree Resource entries of a William Abernathy born or christened 1648 in Scotland, and rejected every single one, as well as 30 others with the same death date those gave.
Firstly, William Abernathy's estate was probated by his sons in September of 1709 and in those days one did not probate an estate while the owner was still alive. I did find one Pedigree Resource entry giving a (still incorrect) death year a little closer to the probate month and year, but that one also cited the burial in 1718 so it too was rejected, along with all the rest.
While all eleven had his marriage to Sarah Doolittle, not all had the date, and only two gave parental information at all and both were utterly, impossibly wrong. There were 2 reasons for the errors: 1) he could not possibly have been the son of Robert Abernathy & Sarah Cubisha since those two individuals did not marry (in Virginia) until 27 years _after_ William's alleged birth in Scotland, and 2) the likely-hood that he was born in Scotland to a Laurency Abernathy & Sarah Cubisha is also suspect, as there is not a single IGI record, extracted or otherwise, of a marriage between those two individuals in Scotland. Further, an examination of that portion of that particular Pedigree Resource File Record shows that Laurency Abernathy (1400-1461) was born and died in East Lothian, Scotland, married to a Margaret who was born 1432 in East Lothian, Scotland but for whom neither maiden name, death date nor location was given and that Sarah Cubisha (1628-1686) was born and died in the Virginia Colony, making her supposed marriage to Laurency .... highly improbable.
Finally, I have not found a single shred of any Abernethy or Abernathy in what is now these United States that is dated prior to the 1st mention of Robert Aberanthy [interesting miss-spelling] in the Library of Virginia's image of the headright grant to Robert West in Charles City County on 2 Aug 1652. The next individual of that surname was mentioned in another Virginia land grant in 1567/8 in Northhampton County, but no further record of him has yet been found. The third individual of this surname was William, first mentioned in 1670 but no age was given in that instance, nor in any later document mentioning him which I have examined.
The only LDS website records I place any trust in are Extracted Marriage, Birth, or Christening ones and the digital images that I can access and decide for myself if the author is just blowing smoke or actually did his/her research reasonably well. There are professionals who do excellent research, but far more people these days do not research at all. They merely copy stuff they find on the internet as if it were gospel and never make the first attempt to verify it. So they end up with people born long before their alleged parents married --- or were even born!