**Core Concept**
Rolling of the edges is a characteristic feature of certain types of ulcers, particularly those caused by a specific pathogen. This phenomenon occurs due to the presence of a particular type of bacteria that produces enzymes that break down the tissue, leading to the characteristic rolled edge appearance.

**Why the Correct Answer is Right**
The rolled edge appearance is typically seen in ulcers caused by Vibrio vulnificus, a gram-negative bacterium that produces a toxin called cytolysin. This toxin breaks down the tissue, creating a rolled edge appearance. The rolled edge is a result of the bacterial invasion and subsequent tissue necrosis.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because rolled edge ulcers are not typically associated with Streptococcus pyogenes, which is more commonly associated with necrotizing fasciitis.
**Option B:** This option is incorrect because Escherichia coli is not typically associated with rolled edge ulcers, although it can cause various types of infections.
**Option C:** This option is incorrect because Haemophilus influenzae is not typically associated with rolled edge ulcers, and its infections are more commonly seen in children.

**Clinical Pearl / High-Yield Fact**
When evaluating a patient with a rolled edge ulcer, it is essential to consider Vibrio vulnificus as a potential causative agent, particularly in patients with a history of exposure to contaminated water or seafood.

**Correct Answer: C. Haemophilus influenzae.**