iPhone Calendar app and sharing

[BernDog]

I'm having trouble sharing a calendar I'm subscribed to. It's from an app called SubAlert that I use to manage substitute teaching jobs. I'd like to share the calendar with my wife so she can also see what jobs I have coming up. Through their app, I have done "Auto-Sync Scheduled Jobs to Calendar App." That syncs it to a "Subscribed" calendar in Calendar on my phone, but I'm not able to get it into iCloud, and from what I can tell, it seems like that's the issue. I have an option to "Add Person" for my other calendars (in iCloud) but not this one, which is under it's on section called "Subscribed" on my phone. Everything I've googled for says I should be able to do this, but I can't. I've sent a message to their support, waiting to hear back, but I don't know if this is something on their end or an iOS thing.

Any ideas?