Ldnash, thanks for the screenshot provided and I want to help get this odd texting issue resolved for you. Receiving your own group text message response is not a known issue based on my research regarding the Verizon Messages app. So I can better assist, what make and model phone are you using? Have you at all attempted to Clear Data and Force Stop the Verizon Messages app and retest the issue?
Please also ensure that the Verizon Messages app is up to date via the Google Play Store if not already and keep us posted on any changes.
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