There is some and Chamberlain has probably published the most. There are not a lot of telemetry projects in the southeast going on and there is very little burning going on in nesting season so the data is hard to collect. Chamberlains stuff looked at success in initial and subsequent attempts, incidence of burns influencing nests (he found most fires never touched a nest and, of the few that did, some still hatched). My understanding is after an area that a hen may have been nesting and the area was burned and her nest unsuccessful, she chose the same type habitat in a different location. As always with research, it is difficult once samples are whittled down over time. Hens fitting the above description might be a couple out of a sample of a hundred hens radio-tagged. Plenty of data available on how far they move to renest.
Also shows the importance of the Auburn project currently underway. They have radio-tags on hens right now in areas that use fire to manage the habitat. we will see if any get influenced by fire. Support AWF, and TFT, to help support the project. ALFA, NWTF, UGA, THP, among others are all contributing.