You can use Spotlight to find files obtained from a specific network server. Let's say I downloaded a file (not a screen capture) from the Deviant Art website. The following Spotlight query will find all files whose server name has "deviant" in the name string:
kind:image kMDItemWhereFroms:deviant
That Where from content also appears in a Get Info/Show Inspect (⌥⌘i) panel too.
And from the Terminal, one can see the kMDItemWhereFroms extended attribute assigned to the file:
xattr ./imagename.jpg
com.apple.metadata:kMDItemDownloadedDate
com.apple.metadata:kMDItemWhereFroms
and remove that particular extended attribute via:
xattr -d com.apple.metadata:kMDItemWhereFroms ./imagename.jpg
xattr ./imagename.jpg
com.apple.metadata:kMDItemDownloadedDate