How about when the someone is a pregnant unmarried child under 17, and claims the babydaddy is a 50 year old pervert?
There is the scary part of texas law where apparently the natural mother/father could consent to this and there is a “consent” clause in texas law. (I know it is very scary)
I think taking your hypothetical in the abstract there is enough to have an investigation, however that may not be enough for a conviction.
Don’t forget this is not the first time prosecutors have pursued these people.
I just hope the prosecutors did not do anything shady to get over their probable cause hump.