Whisk together the heavy cream, milk, honey, sugar and lavender in a saucepan. Bring to a simmer over medium heat. Continue to whisk periodically to help dissolve the sugar. Once it simmers, turn off heat, cover and let the lavender steep. Do not bring to a boil.
Strain lavender and pour mixture into separate bowl. If it's still warm, proceed to step three. If not, gently reheat on the stove just until warm.
Whisk egg yolks and vanilla until pale, about three minutes. Temper about one-fourth cup of warm cream mixture into egg mixture, whisking constantly.
Add tempered egg-cream mixture back to the pot. Whisk constantly over medium heat and bring back to a simmer. Again, do not boil. Cook until mixture thickens and covers the back of a wooden spoon. Turn off heat.
Allow to cool and then cover the top of the custard with plastic wrap and refrigerate until cold, preferably overnight.
Place custard in ice cream maker and churn according to manufacturer's directors. Pour into an airtight container and freeze for a few hours.
For peach compote, cook the peaches and sugar over medium heat until the mixture thickens. Mash with a fork or potato mash until it reaches desired consistency. Turn off heat and stir in lemon juice. Serve either warm or cold. Enjoy!
Notes
Nutritional information is only an estimate. The accuracy of the nutritional information for any recipe on this site is not guaranteed.