Combine the half and half with the sugar and egg yolks in the top of a double boiler; whisk together over simmering water until the mixture starts to thicken slightly. Strain out any solids and chill in the refrigerator or over an ice bath to speed things up.
When chilled, combine the custard base with the peach nectar, cream and extract and stir together. Process in an ice cream machine according to manufacturer's directions. If you need to work in batches (like I did) because of your machine's capacity, keep the base chilled until you are ready to freeze it.
Transfer the semi-soft ice cream to a covered container and stir in the chopped peaches, cover, and freeze until firm.
Recipe by Cooking With MicheleĀ® at https://cookingwithmichele.com/2016/06/peach-gelato/