Over medium heat, bring a pot of salted water to a boil that will be used to cook pasta
Meanwhile, melt butter in a medium sauce pan over medium-low heat and cook shallots until fragrant. About 5-10 minutes
Increase the heat to a little over medium and add the morels. Cook for 3-5 minutes, stirring frequently until mushrooms have released water
Add the heavy cream and thyme and decrease heat to low and allow the cream to bubble and reduce
Once the cream is hot, add the dry white wine. Cook about 10 minutes, stirring occasionally
Squeeze in fresh lemon juice (careful to keep lemon seeds out of sauce) and season with salt and pepper
Allow the sauce to simmer and add pasta to pot of water once it has reached a rolling boil and cook until done
Reserve about half a cup of pasta water when straining pasta
Combine morel sauce with pasta in pot and toss in sliced peas. If the pasta sauce is too thick, add as much pasta water as needed to reach desired consistency. If you prefer a thicker sauce, discard the pasta water
Garnish with pea tendrils and enjoy!