I'm not sure of the exact start and ending dates of the Williams Photography business in Elyria, but a general time frame would be 1890s until after 1910. Both the 1900 and 1910 census lists a Lord Williams as a photographer in downtown Elyria. He is missing in the 1920 census, so he may have died after 1910.
The census of 1910 lists him as being 66 years old, so his death before 1920 is probable. The Elyria public Library has city directories back to at least 1900, so the library could probably give you a last listing date of the business in a city directory, if you need it. Hope the information is helpful.