Final answer:
The type of long-term memory that the memory of her family's 'ice cream night' would be is episodic memory.
Step-by-step explanation:
The type of long-term memory that the memory of her family's 'ice cream night' would be is episodic memory. Episodic memory is the type of memory that contains information about events we have personally experienced, also known as autobiographical memory. It involves recollection of visual imagery as well as the feeling of familiarity.