Final answer:
The nurse would suspect osteomyelitis in a child if they observed swelling and point tenderness at the site, which are common symptoms of this inflammatory bone infection.
Step-by-step explanation:
The nurse would suspect osteomyelitis in a child if they observed symptoms like swelling and point tenderness. These symptoms are consistent with the clinical presentation of osteomyelitis, which is an infection of bone tissues that can lead to inflammation and is commonly caused by a bacterial infection. Since osteomyelitis is a type of inflammation, symptoms like coolness of the affected site or decreased erythrocyte sedimentation rate would not typically be associated with this condition. Instead, increased erythrocyte sedimentation rate and reduced range of motion might be more indicative of the presence of osteomyelitis.