One exception to copyright coverage would be the inclusion of works from the public domain. The rest of the newspaper would be covered, but those parts clearly not covered by copyright cannot become protected merely by their inclusion in a protected work. As to the copyright coverage for the included works, the definition of a work for hire is as follows:
A “work made for hire” is defined as (1) a work prepared by an employee within the scope of his or her employment or Group Registration of Newspapers and Newsletters (2) a work specially ordered or commissioned for certain uses, including use as a contribution to a collective work, if the parties expressly agree in a written instrument signed by them that the work shall be considered a work made for hire. The employer is the author of a work made for hire.The various contributors to a newspaper or newsletter may apportion the copyright ownership as they wish to do so pursuant to the contracts and agreements between the contributors. Generally, this is not an issue because the publisher of the newspaper will extract an agreement from the authors that their works are works for hire and that the publisher owns the copyright.
Unless you are positive that a newspaper article is not subject to copyright, you are bound to assume that any published work, whether or not any type of copyright notice is given, is covered by the copyright law.
That said, from a practical standpoint, any material published before 1923 is no longer subject to a claim of copyright notwithstanding any written allegations to the contrary made by the publisher concerning the original work or reproduction. But do you really want to get into an argument even if there is a question as to the validity of the copyright claim?
If I find an obituary of the Grandfather in the local newspaper is the obituary covered by copyright subsequent to 1923? Absolutely yes. The real issue is whether or not the newspaper owns the copyright. Can I copy the entire obituary for my own private use? There are no copyright police out there enforcing copyright claims, however the original author or the newspaper, whomever owns the copyright, could make a claim that you violated their copyright.