[drgondog]

You can't assume that Freeman is correct but he has the Task Force order for 15 August as:
1TF ---> 1st BD (B-17) attacking Wiesbaden to Frankfurt to Koln area targets, followed by 2TF ----> 2nd BD (B-24)attacking Plantlunne/Vechta area airfields, followed by 3TF -----> part of 3rd BD followed by 4TF ----> part of 3rd BD.

There is no way of telling if: 361st assigned to 1TF B-17s but

1st TF late and 2nd TF took lead but 364th at the RV point picked up the 'trailing' (now) B-17s.

It is clear that 1st BD did in fact bomb Frankfurt area airfields. What is not clear based on the reference to "2-2" and "2-3" was whether or not the original 2TF (and coincidentally 2nd BD) took the lead, but the 364th managed to sort it out and remain with the 1BD now trailing 2nd BD?

Task Forces versus Bomb Divisions were tactical gatherings of different Bomb Wings and Groups within a Division, organized with specific assignments for those Bomb Wings and Bomb Groups, then placed at the Lead, Middle or Trail of the Bomber Stream.

Whoever (1st or 2nd or 3rd Bomb Division) was in lead became First Task Force and this assembly of bombers frequently split away at some map coordinate and attacked a separate target area. The First Task Force could be the 2nd BD B-24s leading the 8th AF that day.

Whoever was next ( say 3rd BD) who once was just behind the First Task Force is now in the lead with the 3rd Task Force behind them, and maybe the 4TF in trail if a 4TF was created for this day.

You could mix and match different bomb groups within a Combat Wing by splitting them up with one squadron augmenting another Group, and having the three other squadrons next in line to augment still another Group behind the first one..

But you Never spilt a B-24 group and attach it to another B-17 Wing because of the dissimilar speeds and performance at higher altitudes.