Is 7:45 pm too early of a bed time for a 6 month old?

My little one's bedtime is between 7-7.30pm. I try to put her to bed usually more like 7pm because then she sleeps better, but sometimes unfortunately that cannot happen.

When she was 3 months old her bedtime was 8.30pm. At around 6 months of age her bedtime was around 7.45-8pm and it slowly got earlier and earlier. Now most days she sleeps from 7pm till 6-6.30am sometimes till 7.30am. And if I put her to bed later (thinking that she would sleep longer in the morning) then she ends up waking extra early. As an experience, if she goes to bed at 8pm, she would wake up 5.30-6am, if she goes to bed at 8.30pm she is definitely up by 5.30am and I cannot make her go back to sleep. So we just have to go with the early nights, which is not bed as we get some grown up time for ourselves in the evening and in the morning we have a happy little girl waiting for us.

As babies grow they daily schedule changes as a natural progression. They slowly drop the number of sleeps during the day and that changes things with the bedtime as well. They also slowly drop the night feeds and get longer stretches during the night. When they sleep less during the day I think it is normal to go to bed earlier to make up for some of the "lost" sleep.

it's completely fine for a 6 month old to go to bed at this time. This is actually the bed time of my 6 year old cousin... give or take 15 minutes

not at all.

as children, our bed time was 7:30.

No

Sort of...