Again Thanks.
+1 "Thank you danielj. You answered the question and solved the problem instead of editorializing or asking WHY the user wants to delete from her iPhone and not her computer."
99% of email done on computer using Thunderbird and gmail accounts. When traveling, in town, will use one of many iOS devices to check mail for many email accounts. Don't want bits and pieces of emails left of various machines but want all to eventually end up on computer.
Several years ago on iPhone 4, an earlier iPod Touch and original iPad found instructions that worked. In various device/iOS upgrades lost the bubble. With this info should finally be able to again read and answer email on any iOS device and still control, have a history, and do longer answers from the computer.
Thanks for a clear answer and not a bunch of crud.
Happy Holidays.