Does the ruling on the iddah of a woman whose husband has died differ in the Hanafi school from what it is in other schools of thought, and is it limited to refraining from marriage only?

What this woman mentioned is incorrect. Jurists from the Hanafi school and others have explicitly stated that a woman observing the 'iddah (waiting period) after her husband's death is required to mourn by refraining from adornment, perfume, kohl, jewelry, and dyed clothes. However, she is permitted to go out during the day for a necessity, provided she returns to her home to sleep.