Simple question any recommendations for good free museums nearish to Alfreton?
Derby Silk Mill is closed for refurbishment, unfortunately (though it will be great when it reopens in 2020).
The museum and art gallery are interesting (especially if you like pre-history or Joseph Wright), but personally I wouldn't drive there for them from Alfreton. I'd rather spend the day in Cromford/Wirksworth/Matlock area, or take a trip to Sheffield.
If you do go into Derby, the Alexandra Hotel pub (near the station) has lots of railway memorabilia, and the Brunswick around the corner is another historic pub.