Hello there, phmosh1.
It sounds like you're not seeing your Medical ID on the lock screen of your iPhone 5c, after you updated to the latest iOS 9. The following Knowledge Base article provides some great instruction on verifying that Medical ID shows under "Emergency" on your lock screen:
Use Health on your iPhone or iPod touch - Apple Support
To make your important health information accessible in case of emergencies, you can personalize your Medical ID on your iPhone.

To add emergency contacts and health information like your birth date, height, and blood type, tap Medical ID > Edit.
Turn on Show When Locked to make your Medical ID available from the Lock screen. In an emergency, this gives people who want to help some important information, like the emergency contacts you've entered.
Here's how to access Medical ID on a locked iPhone:
- Swipe to unlock.
- Tap Emergency.

- Tap Medical ID, on the emergency call screen.

Thanks for reaching out to Apple Support Communities.
Kind Regards.