Hat badge tutorial

The sun is shining, the birds are singing and, of course, school has asked for a hat. I couldn't put my hand on one, so popped one in my trolley in Sainsbury's this morning. Only £1. I opted for a dark blue one, because it's the nearest to school uniform, and then I thought, how will I make sure she doesn't lose it? Identifying marks is the answer! Yay.
This is what you do.
Draw and cut out two little paper patterns for your letter. We are doing an initial because it identifies the hat, but doesn't give anything away to Strangers. I did the small one first, put it on the paper and drew a larger one outside it. My big one is 3.5 inches and ended up a little close to the air holes in the cap, so you may want to take this into consideration.I cut the larger L in the green felt, and the smaller in pink.
Put the smaller letter nicely on top of the larger and, using some contrasting embroidery thread (2 strands), just run a line of running stitch along the middle, to hold them together. Make sure your thread is on the wrong side when you finish. Don't secure the end.
Now, all you have to do is pass your needle through the cap where you are going to start sewing, and sew another line of running stitch along each side of the first row (on the same letter), but going through the cap each time. Make sure you don't pull too tight, or catch the hatband, all the usual. When you have three rows of running stitch on your smaller letter, change to another bright colour and do a row around the larger letter. Don't forget to finish your thread nicely when you are done.
I felt bad that the hat was still a bit dark, so I did a few lazy daisies. I might do some more if I have time. I don't know if my victim likes it yet, but at least it shouldn't get lost. I'll take a picture of her in it when she gets home from school.
There! Easy 10 minute fun project which should only take an hour or so, depending on how much time it takes to find all the bits and pieces.
If I was doing this for an adult or a teen (to put on a book cover, for example, rather than a hat), I would probably do it on the machine. I might do one when I can set up my machine. I'm quite inspired!