Essentials in Writing and Essentials in Literature together would be considered a high school English class. Most English classes in public/private education consist not only of composition, but also literary analysis; however, many states have different requirements for homeschooling.
If the requirement is English I, II, III, and IV for each grade of high school, then your student would need to complete Essentials in Writing and Essentials in Literature for that level to earn 1 English credit.
If the state requires a composition course AND a literary analysis course separately, then each would count as 1 credit.