It's nice to have you here in the Community, @dianeh123.
I can share some insights about how you can track multi-state jobs in QuickBooks.
Since you'll need to separate jobs done in each state, you may use the class tracking. This is also applicable if you want to split the payroll. This way, you can track the payroll taxes and wages per state. However, this feature is only available if you're using Intuit Full Service Payroll. You can check out this article for more information: Standalone class tracking setup and usage for Intuit Full Service Payroll.
If you aren't using this payroll service, I'd suggest reaching out to out Intuit Online Support so they can check if there's another way to track this. You can locate the product on this link and fill out the form to chat with an expert.
If you have other questions or concerns, please visit us again here. I'm glad to help however I can. Take care and enjoy the rest of your weekend.