The problem is the American and English terminology is the same - it just means different things
but I am guessing English as the most basic stitch is the dc, which Americans call sc (single crochet).
Sounds like the blanket pattern is for granny squares, is it a bit like this? This is good because you will be crocheting 'in the round' which is what you would do for amigurumi too.
Ok, let's see where the problem is:
Can you make the chain ok?
Can you slip stitch to form a ring?
Now do you know where to stick the hook to crochet into the ring? I'm guessing this is where you are struggling.
You need to use your finger nails to try and find the middle of that circle and then stick your hook through the circle, yrh (yarn round hook - or yo - yarn over - usually American) and bring it back through the circle to make the stitch. Can you get that far?
Hope I'm not being patronising! I love crochet so much, I genuinely want to talk you through it!
You are going to be crocheting in a circle rather than backwards and forwards. There are two ways of crocheting in a circle, one is a continuous spiral. If you crochet like that it is a good idea to mark the beginning of each 'row' with a yarn of a different colour. Don't worry about that for now, because with granny squares you usually do one row at a time with a different colour.
A good way to know if you are making stitches in the right place is simply to count the number of stitches that you have and make sure it corresponds with the pattern. So with anything bigger than a dc you skip the first stitch of the row and make sure to crochet into the turning change at the end. For double crochet you crochet into the first stitch but not the chain 1 at the end.
This will all make sense eventually.
BTW the Happy Hooker is an American book. I have it somewhere so if you need help with something in that I can look it up.
Let me know how far you get and I can keep talking you through it. I'm such a crochet evangelist! Once you get the hang of it it is easy to progress I promise.