I speak German, not French, so hopefully that says a beret for a little girl. I just thought it sounded neat in the title.
Tonight I finished crocheting my daughter's beret. I know I said I was going to loom knit it and I
was, but once I started looking at the loom pattern it was slightly more complicated than I had expected, and since this was a rush job I figured I'd better do my easy, double crochet beret pattern I've done many times and always turns out just fine. I will do the loom knitted one, but when I have more time to learn how to do some new techniques.

This pattern goes really quickly. I started it last night and finished it tonight with no rushing or feeling like it was a chore.
And it looks like someone is happy with it! She's decided it needs a couple of crochet flowers to jazz it up. OK, I can do that.

Here's a view from the back. She doesn't wear it quite like a beret, but that's OK. It's her hat. This hat can be worn on the back of your head too in a more slouchy style that is popular right now.
I'm guessing you want the pattern. I'll share. Remember I'm not an expert crocheter and there may be something off with this, but it turns out fine. This easy pattern was given to me by a friend at work who learned to crochet from a nun when she was about 4 years old (my friend, not the nun). She just told me how to do it and I took notes and wrote out the following pattern:
Simple Beret
CH 8, Join
Row 1, 16 DC, Join ch 3 (count as dc) (Do this for every row)
Row 2 DC INC 2 in EA ST
Row 3 DC INC every other ST
Row 4 DC INC every 4th ST
Row 5 DC INC every 8th ST
Row 6 DC INC every 11th ST
Row 7-8 DC INC every 15th ST
Row 9 DC INC every 13th ST
Row 10 DC EA ST
Row 11 DC DEC every 18th ST
Row 12 DC DEC every 11th ST
Row 13 DC DEC every 8th ST
Row 14 DC DEC every 6th ST
Row 15-18 SC EA ST
Fasten off.
For this beret I used a G sized hook and Caron's simply soft yarn. When I make this for an adult, I use a larger hook, but of course you have to adjust for yarn size as well.

Another thing I've found to be really helpful when I do needlework is to have a tray handy with stuff I need on it.
Here's what I was using tonight. My coffee table is too far away to be of any use in a project (don't ask- it's decorative rather than functional) and it's easy to lose things in the cushions of the couch, so my tray is really helpful. I have a light on it so I don't go blind as I crochet (or stitch as the case may be). I have my directions, scissors, extra yarn, pattern, and a glass of iced tea all at my finger tips. It sure looks messy in the picture, but it's not really.
So at least I got a small project completed. Yes, the flowers need to be added, but it feels good to actually have something done! Back to minis tomorrow.