Found this information in a brochure put out by the Ag Dept. Not all are period appropriate, but most are.
Crop Available
Apples July-Nov
Blueberries May-July
Broccoli Nov-April
Cabbage year-round
Cantaloupes May-July, Oct-Nov
Carrots Dec-May, Aug-Dec
Celery Dec-April
Cucumbers April-Dec
Grapefruit Sept-April
Green Onions May-Oct
Greens Oct-April
Herbs year-round
Honeydew May-July, Oct-Nov
Mushrooms year-round
Onions March-Aug
Oranges Sept-April
Peas, field April-Dec
Peaches April-Dec
Peppers, bell May-June, Aug-Dec
Peppers, chili May-Dec
Potatoes April-Sept
Pumpkins Sept-Nov
Spinach Nov-April
Sweet Potatoes Aug-May
Tomatoes May-Nov
Turnips year-round
Watermelons May-Nov
Crop Available
Apples July-Nov
Blueberries May-July
Broccoli Nov-April
Cabbage year-round
Cantaloupes May-July, Oct-Nov
Carrots Dec-May, Aug-Dec
Celery Dec-April
Cucumbers April-Dec
Grapefruit Sept-April
Green Onions May-Oct
Greens Oct-April
Herbs year-round
Honeydew May-July, Oct-Nov
Mushrooms year-round
Onions March-Aug
Oranges Sept-April
Peas, field April-Dec
Peaches April-Dec
Peppers, bell May-June, Aug-Dec
Peppers, chili May-Dec
Potatoes April-Sept
Pumpkins Sept-Nov
Spinach Nov-April
Sweet Potatoes Aug-May
Tomatoes May-Nov
Turnips year-round
Watermelons May-Nov