I've got a transcript of the will of Elizabeth Addis. It was signed Oct. 17, 1843, and probated November 3rd, in Hamilton County, Ohio (now Cincinnati). She leaves her estate to Jonathan Moore, in trust for her daughter Almira Shourds. Witnesses were John P. Cornell and Benjamin Skene.
I don't know how Elizabeth fits into the Addis family of sw Pennsylvania and eastern Ohio. Jonathan Addis, who lived in Fayette County PA from about 1800 to 1840, had a wife Elizabeth, but she died in 1832. I don't know of any of his children who had a daughter Elizabeth around that time, and I never heard of Almira Shourds. Presumably, she was a married daughter.
I'm just offering this in case it might help someone.