Access "Last access to course" via the Web services Api

I'm using Moodle 2.8.9 (20151204). 

As the instructor, I can go to:

Home >  My courses >  Miscellaneous > Course101 > Participants

Looking at the "Last access to course" column gives me the information I want.

I'm trying to find this same information via the api, but I'm coming up short. 

I expected to see this via the "core_enrol_get_enrolled_users" web service function.  However, I only see the site (LMS) last access date, and not the course last access date.