From your description it sounds as though a dowel broke off.

To fix this, get an electric drill and simply drill a new hole (the same diameter as the original hole) right through the broken dowel.

Then use a new dowel. Coat the new dowel with a thin layer of wood glue and insert into the new hole.

Know someone who might be interested in this post? Please like and share this post with them. If you have questions or comments please leave them below.