I learnt the trumpet in a week. - I bought it on the friday because the music shop didnt have any cream scones, then played for the easter service the following sunday. That was Thine be the glory, see what a morning, jesus christ is risen today, up from the grave he arose. Although that was lots of practice because I had a set a goal for myself. We had the painter and decorator in that week too, i got fed up of the strange noises.
What I did when learning was, I played along with a CD to make sure my intonation was spot on, its also alot more fun to play along with something! I also associated the fingerings with that of the clarinet and flute. ie. an A is 1st and 2nd fingers just like it is for 3rd register a on clarinet. F# is just the middle finger like the right hand in 3rd register F# on clarinet. B is also just the middle finger, like a B in the bottom register of a clarinet with the right hand. It goes on, but this is how I remember fingering for all the instruments I play - association.
Have fun - its a brilliant instrument to play!