After returning from their hugely successful tour of the USA with the first team, Vicky Jepson's side produced an impressive display in the Midlands.
Clarke, who returned to action against the Metropolitan Conference Allstars at Harvard University following knee surgery, stepped up her fitness and netted a fine goal.
Summer signing Becky Jane claimed her maiden strike for the Reds, while Niamh Charles and Ashley Hodson also scored, and Mel Lawley continued her excellent start with two more assists.
Liverpool FC Women: Preuss, Jane, Purfield, Rodgers, Robe, Bradley-Auckland, Charles, Bailey, Sweetman-Kirk, Babajide, Lawley.
Subs: Kitching, Hodson, Clarke, Roberts, Kearns, Heeps, Ross.