I have exactly the same problem, temporarily held back literally with screw pins. Consulting with restoration specialists it would appear that total removal and replacement of the headliner is the only real option. High temperature spray adhesive is readily available as is the material. I have also found on YouTube a guy who fixed a syringe needle to the spray adhesive nozzle and injected through the cloth in small sections at a time. Clearly a lot easier than full removal but even he said there is risk of some glue seeping through. Looking to do the full refurb myself but as you say a big project, particularly without a garage!
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