From the point of view of one who creates images, photo and drawn, and text, here’s my two pen’th.
Text. You can quote a passage, but it must be “Quoted”. As in ‘Fred Bloggs says, “Blah, blah, blah.”.’
An image. If you do not have copyright for the image, you must have the permission of the person who has, and be able to prove it, usually in writing or similar such as Adobe Acrobat with an electronic signature.
If the copyrighted image is the basis for your image (copy, drawing or such), then usually you are safe, but good manners says that you credit the original. A copy must be recognisable as such, or you could be looking at a forgery charge, or at least intellectual theft.
There are exemptions for educational/instructional use, but again permission is the safest way to go. In your case, if the image is the property of a museum or preservation society, then often a credit is all that is required, but with permission. Museums tend to be generous with writers, as it is as good as advertising for them. They may ask to peruse the finished article before being published.
And. There is nothing more galling and likely to start fisticuffs, than to see your intellectual property parading down the street on the front of someone else’s T shirt. Been there, didn’t get the T shirt.
The safest way of working, unless you are in the text book trade, is to use only your own material. I would pursue someone who used my work illegally, as should anyone. The reason that we have copyright laws is because some people nick other people’s stuff.
Ian