Prepare a water bath canner, jars, and lids, and keep the jars hot until you fill them.
Core the green tomatoes and cut them lengthwise into quarters.
Check the seeds. Leave small, soft seeds in, and scrape out mature ones.
Cut each quarter crosswise into thin slices.
Put the tomato slices, lemon peel and juice, sugar, honey, and salt in a wide, heavy-bottomed, nonreactive pot.
Split the vanilla bean lengthwise, scrape the seeds into the pot, and add the pod.
Bring to a boil over medium-high heat, stirring to dissolve the sugar.
Reduce the heat to medium and keep it at a lively simmer, stirring often, until it reaches 220 degrees F and the preserves are glossy and thick enough to spread, about 40 to 45 minutes.
Remove the vanilla pod. The lemon peel stays in.
Ladle the hot preserves into hot jars, leaving 1/4 inch headspace. Remove air bubbles and wipe the rims clean.
Center the lids on the jars and screw the bands down to fingertip tight.
Process pints, half pints, or quarter pints in a boiling water bath canner for 10 minutes, adjusting for altitude (see notes).
Turn off the heat, remove the canner lid, and wait 5 minutes before lifting the jars out onto a towel.
Cool 12 to 24 hours, check the seals, take the bands off, and store in a cool, dark place.