Cousin’s Wedding - my husband (and children) excluded

[BeAquaPombear]

So as the title suggests, my cousin is getting married in August. I was really excited for her, and had already asked if my children could come (boys aged 2 and 3). She said of course.
I received the invite today, only I am invited to the ceremony!
My husband and children are invited to the reception which is 2 hours later.
We live about an hour and a half drive away, and the ceremony is at 9.15am! So we will have to get two very small children up and out really early for something they aren’t then even part of!
When I have questioned this, she said the registry office has limited capacity (45 guests). I replied that she could have given me a heads up, or even just invited my husband to the ceremony (I could have asked a relative to have the children). She just said she’s sorry that I feel that way.
I totally get that it’s her day, but I just find it really rude to exclude my husband at least from the ceremony.
For reference, I got married in May 2021, when covid restrictions were in force. My cousin wasn’t invited to the ceremony (although my Auntie / her Mum) was, because the capacity was 18. For my reception, with a capacity of 30, I made sure that her AND her then boyfriend were included, at the expense of my friends.

am I being unreasonable to be really upset by this?

Kindly, none of this is relevant to your cousins wedding day.

if you want to go, go.

DH can travel separately later. Or you all travel together and he takes the kids out for the morning. Or you get a lift with someone else the night before.

So many options. Just remember this is about your cousins day, not you.

The reception is the social bit, and you’ll have your husband and kids with you for that. You don’t have to do any socialising during the ceremony, apart from perhaps a bit of small talk with whichever relative you’re sitting next to.