It sounds like the automated message WordPress.com sends to an author or site owner when someone "likes" a post. The message is not sent by the person who liked your post.
As to why your site info shows up in the "Great posts worth seeing from" the person who liked your post, I do not know, but will tag this for Staff input.
Please subscribe to this discussion using the subscribe link in the sidebar if you haven't already so that you will see their reply. Also, thanks for being patient while waiting as Staff are at a meetup and waiting time may be a bit longer than usual.