I saw your post and I thought I could help I went to Family search but I went thru the genealogies that People have already worked so I did find this: I do hope this is what you are looking for;
David Caruthers born 1765 Deptford, Gloucester Co. New Jersey; died 30 Oct 1825 - age 59-60 Lafayette Parrish, Louisiana. Burial in the Saint John Cemetery , Find a grave memorial # 136673104 Son of William Caruthers born 1740 in North Carolina and died 13 April 1808 Saint Martinville, St. Martin Parrish Louisiana age 67-68 Burial Saint Michael's Catholic Cemetery - Find a grave memorial # 136664010
Mother- Elizabeth "Isabelle" Bickham Caruthers; There were no information on Elizabeth.
Spouse: Marguerite Lise Savoie Caswell - Born 1787 St. Landry Parrish, La. Died UNK Find a grave memorial # 163021661
In Southwest Louisiana, the Caruthers surname evolved into Credeur.
Her Parents; Jean dit Valois Savoie - born 1749 -1803. Mother is M. Marguerite Catherine Boutin Savoie - born 1755- 1828.
Married 3rd John Taywell or Caswell of Hancock Co. Georgia Married 5 Jan 1829 Marguerite Lise Savoie widow of David Caruthers.
I first went to familysearch.org, then I went to Find a Grave but I could not locate Elizabeth Caruthers wife of William but it did say that she was born in Pennsylvania. If you need any other help, let me know. Nancy