In this article from the Chicago Sun-Times, architecture critic Kevin Nance reports some good news regarding Pilgrim Baptist Church: There are enough records, photographs and documentation related to the original building to rebuild the church in a way true to its original form.
From the article:"There's not many buildings where you have this kind of documentation to tell what was there," says Chicago cultural historian Tim Samuelson, who worked with architect and Sullivan expert John Vinci to restore Pilgrim Baptist in the mid-1980s. "It's one of the great tools in trying to figure out how to put the building back together again. Luckily, we have the photographs, we have the drawings, we have the castings. If you wanted to rebuild this church, there's enough information to be able to responsibly do it and have a degree of accuracy and integrity that would be critical to justify doing it."
Now, the church needs the funds to make that happen. The website of the Chicago Historical Society lists an address where you can send donations and links to a photographic retrospective of the building.