There are a variety of things one can search for in newspapers besides the names of ancestors and relatives.
If your ancestor had a street address consider searching old newspapers for that address trying “123 Lacon Street,” “123 Lacon St.,” etc. It is probably best to put the address in quotation marks and to keep track of the options that have been searched for.
Another option is to search for military units long after your ancestor served in them. It’s possible they attended a military reunion decades after they saw active service.