To say what more can we do?

Husband did say to her that he trusted her and that she meant so much to us all but there is clearly distrust on her part still.

I too wouldn’t hold a key if I was a nanny or in your employ especially as something already seemed to have ‘maybe’ gone!
(Although why a burglar would ‘scuff’ a computer I ve no idea I would have thought it would have gone in his or her swag bag)
Ask a relative or close friend but don’t ask her she does not want to be responsible for anything happening and who can blame her

It was clumsy of my husband but he definitely was not accusing her, just making conversation. It came out wrong that's all. It's obvious we trust her as she has sole care of the most precious things in our lives, our grandchildren.
She has a key on days she is working but leaves it behind each night. So for example, takes it of a morning, leaves it at night.
As for the responsibility aspect, the chances are we wouldn't have needed her to go to the house but wanted to prove we trusted her.
I just find it frustrating that we can't get her to believe in the fact we trust her and that it was just clumsiness on my husbands part that made it sound like she was being accused that time.

What Monica said

Does your nanny hold a key while she's looking after your grandchildren? Presumably she's in and out of the house during the day?

I am totally with the nanny and in her position would never want to hold keys to your house again. Trust of this kind once lost can never be regained. I am surprised she is even still working for you. In her position I would take a conversation like she had with your DH as a warning that i could be blamed for anything happenng in the house that is inexplicable and would have moved to another employer by now.

Be glad she has stayed and accept that trust between you is impossible

You say that you made your husband apologise. I wonder how sincere his apology was or if it was perfunctory as he felt under duress?

Even if he has already made a sincere apology perhaps you and he could both sit down with nanny and explain the situation again and make a heartfelt and sincere apology. Perhaps with some flowers or something you know she will enjoy?

Another thing that crosses my mind is that keeping an eye on the house whilst you are away is quite a responsibility and maybe doesn't fall into the normal range of jobs for a nanny. Maybe she doesn't want this extra responsibility which might involve her in making decisions about the house whilst you aren't there - or indeed having to go into the house if there has been a break in. Are you offering to pay her for taking the responsibility on?

"Trust once lost is hard to rebuild" was my first thought on reading this.

Is there no-one else you can ask to watch the house while you're away?

Sorry I have custody of my grandkids was the first line.