I want to ask my employee to come in earlier than scheduled
What makes you want them to come in early to work?
I've heard she's using our equipment and resources for non-work matters and we should discuss it right away.
If an employer is asking an employee to come in early, they should be paid for all work. An employer may change an employee's schedule and demand they show up early occasionally.
In addition to using the resources like this, she is also late pretty often. Just a troublesome employee in general.
If she is taking advantage of the workplace's resources, then you should talk to her about why her behavior is unacceptable. She might not realize that she's doing something wrong, so talking to her might prevent a lot of waste in the future.