Flight Madrid-London-Chicago, 8a departure (IB) delayed 1.25h for a 2h window at London Heathrow connection; mad-dash to customs with myself, 2 minor children in tow -pulled off BA connection see Iberia counter. 3.5h wait as agents called supervisor and waiting; only option take AA next day and overnight accommodations; came back next day to AA (640a) no itinerary, speak to BA; BA ticket staff, Georgia - we didn’t start your flight, go to another terminal and ask Iberia or call Iberia (IB tele agent Gian Franco- says go in person); I told Georgia to get her supervisor from his meeting and he can accompany us to the other terminal, print the tickets and hand them personally. 45 min later Georgia is at the other end of the counter w AA staff, Deborah thanking her for getting our tickets. My younger son asked ‘could you please upgrade me?’ - he ended up turning 10 on this Heathrow journey; her reply w a smirk ‘you can ask at the gate’. Suffice it to say the partnership between these 3 (and likely the other 10) stands true to my present status- now waiting for a delayed flight to Chicago. I would use other choice words but this review would not pass.