Place the mascarpone cheese and sugar in a large bowl. Use an electric mixer to beat the mixture until smooth, then slowly incorporate the cream, water, and espresso, until smooth.
Pour the mixture into popsicle molds, until they are 2/3 full. Then pour the Kahlua into a shallow bowl. Dip each ladyfinger into the Kahlua for 5 seconds per side, then press one down into the center of each popsicle mold. Add a popsicle stick to each pop and gently tap the mold on the counter to help everything settle into place.
Use a veggie peeler to shave chocolate curls over the base of each popsicle. Freeze the tiramisu pops for at least 3 hours, but the longer the better. When ready to serve, flip the mold over and run the bottom of each pop under hot water for a few seconds. Then gently pull each pop out of the mold.