The crash was reported around 11:45 a.m. Thursday involving a single-engine Steen Skybolt aircraft, according to the Federal Aviation Administration.
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Jesse's widow, Jessica Raine Buckner, shared the news on her Facebook page on Friday.
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"I wish this were just a dream, but unfortunately, the reality is setting in as I lay in bed typing this," Jessica wrote. "It has been a wild ride, and I'm so blessed we had 17 years together."
The National Transportation Safety Board is investigating Thursday's crash and is expected to release a report on the circumstances surrounding it.
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The video above is from a previous report.