My second was born about 40 minutes after I woke up. It is amazing how fast they will get a paramedic out to you when you tell them that you can feel the waters bulging out! If it's that fast, it is usually also quite easy and straight forward.
Put the delivery suite number into your phone. Keep it with you and charged.
DS slept right through it all in the next bedroom. Woke to house full of strangers (fast response paramedic, 2 ambos and a midwife (she came about 45 minutes after DD was born))
If you have the baby, just cuddle her until someone comes. If you have called, the midwife at delivery suite will stay on the phone with you until someone arrives. They will talk you through it (hopefully more calmly than the midwife screaming at DH "Tell her not to panic", which of course made me think that panic was the normal response, and I wasn't panicking, why wasn't I panicking???" Keep baby warm, skin to skin with you.
Make sure you have a really good mattress protector on - we had to buy a new mattress topper 
Good luck - DS was 14 hours of at home pottering around, walking around the shops with mild contractions, then 3 hours at hospital before delivery, DD was days of stop start, then 40 minutes of active labour. DD2 just will not come out and I am fed up. I am also 20 minutes from hospital in good traffic, but it is snowing and we have a steep escarpment to drive down, plus DH would need to organise work and drive home, pick up DD from childcare, take her to babysitter, and they don't do homebirths in this part of Sweden 