Mindfulness vs. Being-Present

[wstein]

Until recently I thought that Mindfulness was more or less the same thing as Being Present/Being in the Now.

Hints in the last year suggest they are different. As I have little to no formal training in either I can not be sure.

I have long been 'Mindful', or so I thought. Seems more like I have been Present ...

My current idea about these are as follows:
Mindfulness: focusing on one's current activity, ideally to the point of not being distracted by anything else.
Being Present: fully being aware of one's senses and internal state, none are of particular interest. Action may occur in regards to something, ideally without getting distracted by the action and loosing awareness of anything.
Being in the Now: Basically the same as Being Present, except for beginners there is an emphasis on not getting distracted by the past or future.

There is good change I am wrong or misinformed. That is why I started this topic, to find out.