Take a look at the
Rearrange Address and Place Parts plugin from the Plugin Store.
That is designed to bulk move the Address and Place comma-separated parts around.
Review the
Help and Advice pages.
It works best if your Place records follow a regular format such as
Cemetery, Town, County, State, USA
You can specify that Place Part 1 (that holds
Cemetery) can be moved to Address Part 1, and the remaining Place Parts 2 - 5 can be shifted left.
To avoid upsetting Place records that do not include the
Cemetery part, you need to select the Place records that need rearranging before running the plugin, i.e. those that have more than 4 comma-separated Parts.
One issue to consider is how to make
Cemetery names unique.
Currently, they belong to the Place record which gives them their full context.
After moving to the Address field, they lose that context, so any two Cemeteries that happen to have the same name will be treated by Tools > Work with Data > Addresses as a single Cemetery. So changing one and not the other is difficult.
See FHUG KB
Working with Places and Addresses under
Distinct Places and Addresses where it discusses Churches that have a similar issue.