The verb birth exists and can be found in the OED as a transitive verb meaning "To give birth to; to give rise to"
1945 in Amer. Speech (1946) XXI. 303 The plan for UNO was birthed at Dumbarton Oaks.
It is in the Longman Dictionary of the English Language "to bring forth as a mother. To cause the development or creation of"
On line dictionaries have it as well:
Found on the web :
Edit after OP completed their answer :
Birth (birthed, birthed) and bear (bore, born(e)) are two different verbs.
Bear means "carry".
Birth (as a verb) means "give birth".
The following three mean the same thing:
She bore two boys. / She brought two boys into the world. / She birthed two boys.
The first two are more common but the third one is quite correct and you will find lots of examples if you do a little research on the internet.
And when used for an idea and not for a person, as in your example, then the use of "birth" is quite frequent.