Almira's name at the time of her death was Waite. I've already found her grave marker and Death registry along with her infant child who passed away 3 weeks later. If you want to see the document I can send it to you. It's attached to my family tree.
Family Search Does have a death record for infant Almira Waite. It's the same record that has mother Almira Waite death record. I have a copy of it.
There isn't a Henry Waite, It's Henry Appleman. He moved to Fostoria and lived there his entire Adult life. He's buried in the cemetery in Fostoria. Henry's death certificate has Almira Vanslack listed as his mother. My grandfather lived with him while he was a teenager.
All the information you posted above I've already attached to my Family Tree.
You do know there was a Michigan census done in 1894. There was another in 1884 but that one is all but lost.