Yes, they are the same person. John Adam was named for his father Adam Hause. John and Elizabeth Anna Miller Hause are my great grandparents. I do not have the obit you mention but would love to share information with you. My grandmother, Laura Hause was John and Elizabeth's daughter. I have considerable information on the Hause family but much less on the Miller family.
Please contact me directly . Sandra NeccoSNecco@msn.com