Remove the zest of 1 lemon in wide strips with a vegetable peeler. Juice both lemons to make about 5 tablespoons. Chop 1 cup of the strawberries and combine with 1 tablespoon granulated sugar and 1 tablespoon lemon juice in a bowl; set aside to macerate while you make the pudding.
Meanwhile, whisk the remaining 1/2 cup granulated sugar, the cornstarch and salt in a medium bowl. Whisk in the egg yolks and 1/4 cup half-and-half until smooth. Bring the remaining 1 1/2 cups half-and-half and the lemon zest to a boil in a medium saucepan over medium-high heat. Remove from the heat and let sit 10 minutes to infuse. Gradually whisk in the sugar-yolk mixture, then the remaining 1/4 cup lemon juice.
Return the saucepan to medium-high heat and cook, whisking constantly, until the pudding comes to a boil and thickens, about 3 minutes. Continue cooking, whisking constantly, about 1 more minute. Remove from the heat and whisk in the butter until smooth. Strain the mixture through a fine-mesh sieve, pressing it through with a rubber spatula; discard the lemon zest.
Divide the macerated strawberries among 8 clear plastic cups or glasses; top with the lemon pudding. Press plastic wrap directly onto the surface of each and refrigerate until set, at least 4 hours or overnight.
When the pudding is set, pulse the remaining 3/4 cup strawberries in a mini food processor until smooth. Beat the heavy cream and confectioners' sugar in a large bowl with a mixer on medium speed until soft peaks form, about 1 minute. Add the strawberry puree and continue beating until stiff peaks form. Top the pudding with the strawberry whipped cream and sprinkle with the crumbled cookies. Top with sliced strawberries.
Photograph by Ryan Liebe