I wasn't sure about it but going out in the middle of the night to pick basil wasn't very high on my priorities. The weather guy said it was supposed to reach freezing but just barely. When I got up I went outside to look and they seemed fine. I'll check again when I get home just in case they got colder as the sun was rising.
The coldest time of day is often just after sunrise before the sun has had a chance to really change the temperature any.