Jim,
I'm no expert, but I checked the Birds of the World species account for Mississippi Kite and found the following tidbits.
"Most fall migration in North America occurs late Aug-mid-Sep as small postbreeding flocks wander and combine. Extended flocks approach and exceed 1,000 individuals in s. Texas in late Aug-early Oct ..., and most kites are south of U.S. by mid-Oct. Commonly a few individuals tarry..."
"No known variation in rates of movement between individuals of eastern and western populations, nor between sexes, nor between adults and juveniles, although yearlings may leave nesting areas before adults do ... Juveniles are often observed in postbreeding and migratory flocks."
With respect to fledgling kites, "Adults feed vocal fledglings for at least 15–20 d after fledging...Fledglings are reluctant fliers to about 50 d of age; clumsy in handling prey, which they often drop ... They frequent nest area and may return to nest up to 10 d after fledging ... Fledglings attempt to catch insects with adults after 50+ d ...; forage with adults at 64 d ..."
Nothing specific about parent/fledgling interaction during migration, not surprising because it would be impossible to monitor once they are on the move south.
Jim Nelson
Bethesda