Add cream, milk and a splash of vanilla to a saucepan on medium heat. Bring the liquid to a gentle simmer.
While the cream is warming up, whisk egg yolks and sugar together in a bowl. Make sure they're well combined.
When the cream is just starting to simmer, slowly temper it into the yolks while whisking.
Pour the mixture back into the saucepan and turn the heat down to medium low. Stir in a figure 8 motion with a wood spoon for several minutes until the mixture coats the back of the spoon. Remove from the heat. Continue to stir over an ice bath until cool.
Move the mixture to the refrigerator.
Next, you need to remove the skin from the peaches. You can either do this by blanching them or peeling them carefully with a paring knife (I prefer peeling them).
After the skin is removed, halve and core the peaches. Remove any tough inner flesh from around the core with a spoon and then puree the peaches in a food processor until smooth.
Combine the peach puree with the ice cream base and then make the ice cream according to the manufacturers instructions.