I also saw an entry in the Wills and Administrations of Columbia County, PA (Book 2, p. 415) which I abstracted kind of quickly. I was not able to study it much, but it did seem like it applied to this William. I wrote, "Catherine Girton renounced her right of administration of her husband's estate and gave it to John R. Mayer/Moyer." There is another entry for a William Girton on July 17, 1847 in Book 2, p. 431, but I did not see it. The administrator was another William Girton - probably a son.
Joan Best told me that the William Girton who died in 1847 is a different from the William Girton who married Catherine Bodine. According to WorldConnect at Rootsweb, he is the son of John who was our William's older brother. Here is some info on that William:
Name: William GIRTON
Birth: 3 NOV 1793 in Sussex county, NJ
Death: 12 APR 1847 in Madison Twp., Columbia Co., PA
Burial: Rosemont Cem, Bloomsburg, Columbia Co., PA
Marriage: Catherine SHUMACHER
b: 10 AUG 1797 in Bloomsburg, Columbia Co., PA
Married: 11 APR 1816 in Bloomsburg, Columbia Co., PA
Children: Anna GIRTON b: JAN 1816 in Columbia Co., PA