Deleted calendar on AppleID account - can I get it back?

Hi,

I accidentally deleted my calendar from my iPhone 4S. This calendar was on my AppleID account. It was not synced to iCloud. I don't have the backup to restore from, because as soon as I plugged in my iPhone to do the restore, it created a new backup that over-wrote the old one (why does it do this?!).

Is there any way I can access this calendar? Can I get to it somehow by logging into my Apple ID on a computer? Surely the data is in some kind of deleted but recoverable form on my iPhone? I have seen there is a 3rd party software app called Mr. Fone by Wondershare that might do it, but it costs about £40.

Please help, I am lost without my calendar 😟

Louise