Is a ladybird an insect or not?
yes a ladybird is a bug
No, not all ladybugs are designated the Ohio state insect. The icon in question is the seven-spotted ladybug (Coccinella septempunctata), Ohio state insect since 1975. The seven-spotted ladybird, or C-7, also serves as the state insect for Delaware since 1974, Massachusetts since 1974, New Hampshire since 1977, and Tennessee since 1975.
The most common species of ladybird in Britain is the seven-spot ladybird. This bright red ladybird has seven spots and is thought to have inspired the name ladybird: "Lady" referring to the Virgin Mary (Our lady) who in early paintings is seen wearing a red cloak; the seven spots are symbolic of the seven joys and seven sorrows of Mary.