If you have mistakenly created fields on the wrong object, there is no way to move the field. Instead, you'll need to delete the field(s) created and create the new field on the intended object.
If you want to keep the field on one object but also have the same data displayed on another object, this can be accomplished a few ways:
1. A Formula Field can pull data "downstream." If you want to see the information from an "upstream" object (but not edit that data) you can use a Formula field. This can be very helpful for referencing data from other records without the need to navigate to the related record.
NOTE: Formula fields can only be used going downstream. What does that mean? Example: Appointment fields can be used to create a Formula Field on the Sale object, to pull data from the Appointment record, making it visible AND reportable data on the related Sale record. However, fields from the Sale record cannot be moved to the Appointment object by using a Formula Field. Reference the improveit 360 Process Flow chart to see Object relationships, and the flow of "downstream" data. Follow the instructions in this article to create a formula field: Cross Object Formula Field
2. If you like what a formula does, but want to be able to edit what goes in the dependent field, you'll need a workflow tied to a blank field. Create a ticket with support to help figure out what a workflow can do for you.
3. If you are trying to move data "upstream" (reference the improveit 360 Process Flow chart to see Object relationships and data flow model), you will need a Custom Process. Formula fields can only be used when moving data "downstream." In this Example, Our company collects additional Data on the Sale record (after the Appointment has been Resulted) and we also need that data to be available on the Appointment record for reporting purposes. In this case, we need to move data "upstream."
Open a Support Ticket to discuss your specific needs with a member of our team. Our team may be able to create a Custom Process in your system to move select data "upstream."