In checking MARRIAGES GLEANED FROM MADISON CO.,IN. 1840-1880 by Zook I find no listing for a Joseph Alexander Graham, or any variations. There are 13 Graham's listed. No Grayham.
In checking MARRIAGE SUPPLEMENT MADISON CO., IN 1865-1877 by Zook, again, nothing.
IN checking SUPPLEMENT OF ADMIN. DEATH DIVORCES AND MARRIAGES OF MADISON CO.,IN 1825-1899 by Zook, again nothing.
I'm sorry Carole I wish I could have found something for you.
Mary