Dinosaur will be up for four awards when the winners are announced on 17 November.
These include best actor and best writer nominations for Storrie, who plays a neurodiverse palaeontologist in the BBC Three comedy.
Storrie, who has autism, said the role enabled her to “unmask” in real life.
She said the programme differed from other shows featuring an autistic lead character because “it’s not all doom and gloom”.
The actor told BBC Scotland her mum was the first person she spoke to after she found out about her nomination.
She posted a screengrab of the call on Instagram, saying: “She’s probably going to kill me for how unflattering this is.”
Godley also posted, saying: “I’m so proud.”
