I had my DC before the internet, so information was what you could glean from the hospital staff and my trusty Sheila Kitzinger book.
I had DS1 officially in 3 h 15 min inc 3rd stage and as he was born with his hand over his head, that maybe slowed the second stage - there was also some distress because of the speed of delivery. I had contractions 3 min apart from the start (broken waters) but was told that I was not dilated at all 2 hr before he was born.
I was very worried with the second as it was twins, much can go wrong, and I was worried about getting to the hospital on time and premature delivery. Every time I mentioned it I was fobbed off with "all labours different", blah blah, and the only person to take me seriously was a house doctor I saw a couple of days before they were born when I had lost my mucus plug who said to come in with the first contraction. I had a named midwife at the hospital who had had twins and a community midwife at the GPs who did not remember me from one appointment to the next, even though it was twins and they continually fobbed me off. I had a fellow mother friend who was also expecting twins and between us we tried to find out as much as we could and got nada.
I actually went into labour 1 month before my date, waters did not break but I had contractions every 3 minutes from about half an hour in. DH rang the hospital (4.30am) and they wouldn't talk to him this time and I had to get off the loo. I told the mw that I was having contractions every 3 minutes and was 35 weeks with twins. The midwife told me to come in at 9am when the day staff came on 
so I told her that I had seen a doctor at the hospital at the weekend who had told me to come in with the first contraction, so I was on my way. DH was very very anxious to get me there and we dropped off DS1 with a friend at 5am and were in by 5.15.
The registrar who was supposed to deliver was in bed and issued instructions to a very young doctor who I am sure had never held a baby in his life and they put the necessary cannulas in (apparently to speed things up if it went wrong and he agreed I didn't really need it) and wired me up and then the young doctor had to do the exam for some reason and faffed around trying to see how dilated I was - it was considered 4 cms and he asked for the 'amnio hook' with no consultation because that is what the registrar in bed had told him to do. When I said 'what' they did actually go through the motions of asking me, but tbh honest, I had got to the point where I had managed to get into the hospital and I had to trust them and let them get on with it.
DTD1 was born about 20 minutes later (nearly on the loo), mostly with DH the only person present whilst the mw got the rubber gloves and others who were supposed to be officiating and DTD2 was born in the delivery room about 10 minutes later, having managed to turn and come out head first.
I was then congratulated by the midwife for doing it on my own and told that they normally kept mother's 'comfortable' at that time of the day for the day staff to take over . My notes were very clear from the 1st delivery and the partogram (about 1 cm long) was there. They were not upfront with me otherwise I could have told them that it was not going to work. I thought they were preparing so that I could give birth in the theatre where I should have been in case anything went wrong, especially with DTD2.
I now know the mw IRL and know that at that time she was either in the middle of a divorce or a single parent and was anxious to get off on time (which she did) at the end of her shift. TBH I am still angry about it because so much could have happened and there was other stuff not right - DH got close to delivering DTD2 in spite of a whole roomful of people (no one looking) at that time, so I have not discussed it with her (or let on that she delivered them).
But I think you are just going to have to find a way of saying clearly ' I had my first baby very quickly' to every HCP you meet and weather the fobbing off, even if one listens and promises to write it on your notes. You can only do what you can do though.
(The twins actually took an hour longer to arrive than DS1 in total time from first sign to delivery in spite of there being very little second stage)