Aged 72 years

See inscription----James Arthur erected this gravestone. There is a James Arthur on the other side of this gravestone, facing west away from the tree. For dates to fit, the James and this William could be brothers, and the names of the "parents" mentioned in the inscription then are not listed. See below, even though the dates are not exact this appears to be the same family:
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http://familytreemaker.genealogy.com/users/k/o/s/Janice-Fuller-MA/WEBSITE-0001/UHP-0301.html

ROBERT Arthur (b. 22 Mar 1747)
Robert Arthur (son of Robert Arthur and Margaret Meek) was born 22 Mar 1747 in Torphichen, West Lothian, Scotland.
More About Robert Arthur:
Date born 2: Witnessed by Alexander Arthur and John Arthur of Torphichen.

His parents and siblings:
Robert Arthur (b. 09 Feb 1701)
Robert Arthur (son of William Arthure and Jean Martine) was born 09 Feb 1701 in Torphichen, West Lothian, Scotland. He married Margaret Meek.
Children of Robert Arthur and Margaret Meek are:
1- John Arthur, b. 10 Sep 1738, Torphichen, West Lothian.
2- William (THIS WILLIAM ?) Arthur, b. 20 Apr 1740, Torphichen, West Lothian, Scotland.
3- James Arthur, b. 31 Dec 1741, Torphichen, West Lothian, Scotland.
4- Margaret Arthur, b. 02 Nov 1743, Cathlaw, Torphichen.
5- Christian Arthur, b. 28 Oct 1744, Cathlaw, Torphichen.
6- ROBERT Arthur, b. 22 Mar 1747, Torphichen, West Lothian, Scotland.
7- Alexander Arthur, b. 05 Jun 1748, Cathlaw,Torphichen, West Lothian, Scotland.

His Grandparents and family:
William Arthure
William Arthure. He married Jean Martine on 21 Mar 1696 in Bathgate, West Lothian.
More About William Arthure and Jean Martine:
Marriage: 21 Mar 1696, Bathgate, West Lothian.
Children of William Arthure and Jean Martine are:
1+ Robert Arthur, b. 09 Feb 1701, Torphichen, West Lothian, Scotland.
2+ Jean Arthure, b. 05 Nov 1704, Hilderston, Torphichen, West Lothian.

His GreatGrandparents and family:
James Arthour, circa 1630 Torphichen, Scotland
Bessie Stilly