Wiktionary
goody two shoes
n. 1 A goody-goody. 2 A person who is exceptionally good.
Wikipedia
Goody Two Shoes (song)
"Goody Two Shoes" is a song by Adam Ant, released in 1982. It was his first solo record, after the dissolution of his band Adam and the Ants that year. The single spent two weeks at number one on the UK Singles Chart, and it became his third chart topper in the space of a year on the chart (the previous two number ones were with Adam and the Ants).