I have re-booted both the Hubitat and the Hue Bridge.
Also tried renaming the bulb back to it's original name, it's still not responding through Hubitat.
What does the name show as on the "Devices" page? That's what you're going to see in Simple Lighting (or any app). My experience is that renaming a bulb in the Hue app does not rename it in Hubitat--if you want them to match, you have to go and edit the device in Hubitat yourself. (And Hubitat is already aware that the bulb has been added and will also not "discover" it again.)
I guess it's personal preference whether you prefer the Hue bulb names stay in sync in Hubitat with the Hue app or if you prefer being able to have different names in Hubitat from what they may be in Hue, but since there's no option, it's the latter for everyone.