Eleanor Rigby died in the church

and was buried along with her name

Nobody came

Father McKenzie wiping the dirt from his hands as he walks from the grave

No one was saved

Eleanor dies.

This is figurative, it means she had no kids or family so nobody will have her last name again so the name dies with her

Nobody came to her funeral.

Father Mckenzie buries her and is the only one to be at her funeral.

Nobody comes to the priests sermon and nobody is "saved" with the church.