My apprenticeship covered carpentry, joinery and wood machining.... sadly they have dumbed down the whole thing into one or the other in an attempt to make the roles "specialist" which is complete pants.
Try to get an apprenticeship in any one of those fields but keep an open mind and try to learn from anyone willing to pass on their skills, listening and asking questions are a huge part of that and the skills are all transferable to different woodworking tasks, so a foothold in one part may help you later.
Consider approaching any local companies who do timber framing (the old style, not the factory kit houses where none of the timber is ever seen after completion) if you find a company that looks like it fits the bill do not let a rejection letter stop you, pitch up and try to get an interview (early in the morning works best as it shows you're not lounging in bed 'till midday) take any photo's of woodworking projects you have done with you too, I took a stool I made at school to the interview that won my apprenticeship and over the years photo's of staircases I have made have opened doors.
I wish you the best of luck, nothing beats playing with bits of wood for a living when you enjoy doing it.
Rob.