Presuming I’m following your question: The plugin is already using Parse This to scrape and import the “name” (aka the post title you’re bookmarking, reading, etc.) from the original website based on microformats, html, OG meta, or even schema before it posts to your site. Some sites may not provide these in which case you may have to supply something yourself. I’ve only seen a very small number of sites return nothing for these.
As I recall, if the post name comes up empty, the plugin will default to the text “a post” so that there’s something there to link to, but you can always go back and change it if necessary. If you’re using the bookmarklet, you can always manually input something as well before publishing.
Let me know if I’ve misunderstood your question and this didn’t cover your use case(s).