Issues with individual texts vs group texts showing up??

[CANDCHTG]

Why has this question or problem not been resolved on here?

I now transferred my Verizon Note 8 to my new Note 9 using the OEM provided cable and smart switch adapter and transferred everything from my Note 8 directly to my New Note 9 and the texts between my and my son are now ME and HIS NAME and my wife's and mine are ME and HER NAME both in group texts.  Now new texts we are communicating are normal but how do I get those to return to normal?

Do I delete the "MYSELF" as a contact?

Really want this fixed ASAP because I use texts for reference EVERY day at work