I looked around on the internets and combined several recipes to come up with this:
1 lb of figs, trimmed
4T honey (local is best, light is better than dark)
the juice of one lemon (this, unfortunately, is essential for color and flavor)
2T each rose and Mathilde raspberry liqueur (you could use something else, like port, red wine, etc. but the alcohol keeps it from becoming a brick in the freezer)
almost 2 c water
Briefly cook figs with honey and smash them up. Add the zest of your lemon and the water. Puree with an immersion blender (or in a regular blender). Add your chosen alcohol. You'll notice with some disappointment that your mixture is the color of gravy. And the taste is somewhat flat. Add your lemon juice and change all that. The color perks back up, as does the flavor.
Pour into an ice cream maker and process according to its directions. If you don't have an ice cream maker, pour it into a loaf pan, cover, and stir every half hour or so.
Most people would make fig preserves, but they're too too sweet for me. I much prefer a savory treatment (you'll find a basic recipe under the fig tart photo- I make this at least twice each brief fig season, for any potluck we might attend or for our church's hospitality hour), but the sorbet may change my mind.
If you didn't buy your house based on the fact that it had the biggest fig tree you've ever seen in its backyard, you could use black mission figs that are sometimes available in gourmet markets. Or if you're down south, you could make friends with someone who has a fig tree. I know I'm happy to share.