For those interested, I found the following Calders buried at the Greeneville Cemetery in Greene County, NY:
"William H. Calder, d. Mar 10, 1879, aged 71y
Philathea, w/o William H. Calder, d. Apr 28, 1864, aged 57y
Joseph Calder, b. 1867, d. 1960
Louise Calder, his wife, b. 1868, d. 1942
Eleanor C., w/o Wm. D. Calder, d. Feb 3, 1898, aged 67y
Charles S. Calder, d. Aug 16, 1894, aged 29y
William Dunn Calder, b. 1835, d. 1919, s/o Wm. H., grandson of Joseph, great-grandson of John Calder, Linlithgow, Scotland
Miranda J., d/o Wm. H. and Philathea Calder, d. Nov 9, 1855, aged 25y
Sarah, d/o Wm. H. and Philathea Calder, d. Nov 4, 1853, aged 15y
Joseph Calder, d. May 5, 1850, aged 79y 11m 25d, a native of Scotland, emigrated to this country 1793
Marion, w/o Joseph Calder, d. Jun 17, 1834, aged 64y 1 m 7d
In Memory of Jean Newton, a native of Scotland, and relict of Joseph Newton, d. Jan 16, 1833, aged 84y 2 m., erected by Joseph Calder
In Memory of Ann, d/o Joseph and Marion Calder, and w/o Joseph Newton, d. May 25, 1825, 22nd year of her age, erected by Joseph Calder
Eliza, d/o Rev. Alexr. and Affa Calder, d. Feb 1, 1823, aged 5m
Ann Elizabeth, d/o Rev. Alexr. and Affa Calder, d. Jun 3, 1829, 2nd year of her age"
There may be other Calders buried there I did not record.Alexander Calder who married Affa Knight was a son of Joseph Calder, and so presumably was William H. Calder.Joseph's wife Marion was Marion Dunn.I have no idea who Ann Newton was -- was she perhaps Ann Calder Newton's mother-in-law?Or even Joseph Calder's own mother?
From the inscription on the grave of William Dunn Calder, it would appear that Joseph's father was named John Calder.
Hope this helps other Calder researchers.