The birds do have a reddish splotch on their (mainly gray) breasts, but it is hard to see.
More noticeable, in the case of males, is a bright red head from the crown to the back of the neck. Females have red mainly on the nape. Both have a black-and-white checkered back.
Red-bellied Woodpeckers are one of over 300 kinds of woodpeckers in the world, including 22 species in the United States. They’re found throughout much of the eastern part of the country and are common in the Southeast, in forests, parks, suburbs, and other wooded areas. The species is non-migratory except in the extreme northern parts of its range.