I have long thought that search engines, news aggregators and social media companies have a journalistic responsibility to favor the original/primary source of every story, but things have not worked out that way. If you can manage to truly develop something like this it would be a valuable tool for rewarding the work of reporting over SEO.
Anyway, please consider that headlines and time stamps do not tell the entire story when it comes to sourcing.
For example: Your website offers this story (https://hotspotatl.com/6587626/dr-jackie-married-to-medicine...) as first to publish. But right in the text it cites another website BOSSIP as the source of the interview.
Also: there doesn't appear to be a way to link results from your website.