Working part-time remotely

I am currently working full-time in house at our local hospital. What are your thoughts on adding additional part-time work, remotely? I have no desire to leave my current position, just want to add an extra income. Is it easy to find? Is the flexibility there to only work part-time hours? Or am I just wishful thinking?!
Just curious as to what anyone might have run across during their job searches. Thanks!

Working part-time remotely