I log into my g-mail account,another persons name & address keep appearing

It seems that your Gmail account has been compromised. To troubleshoot the issue, refer to the guidelines mentioned on the link below:
https://support.google.com/mail/answer/50270?hl=en

GuruAid.com

HI Sharon,

Sounds like your email account with gmail has been hacked and under control by another person. However, im not sure about what you wrote about you logged into your email account by using your own email and password with gmail then ....what happened did you logged in successfully or not?
if you did logged in your gmail account successfully then after you logged in you see your profile name has been changed to another person name and so on the address also has been changed too then it definitely means your gmail account has been hacked by another person who did know your email address and password and that person logged into your gmail account and he or she changed your profile info and gain control to use your gmail account. This issues are not difficult all you need to do is logged in to your gmail account then on the upright conner you would see profile name of you or may be of another person name just click on it and click on MY ACCOUNT from there all you need to do is to review all of personal information and make correction back your your own profile. Once you finish to make correction then the last step is you MUST CHANGE YOUR GMAIL PASSWORD so that the hacker no longer can access your gmail account anymore.
Now you need to do a second step and this is very important it regarding why and how the hacker could gaining control of your gmail account because some of the computers you did use to get online and logged in to your gmail account ( it could be your home computer or laptop or it could be any computer outside your home but you did one time use it to check your email) Those computers or laptops you has used they has been infected by trojan or malware that is why the hacker could pull out your personal info such as email address or password. Now we are talking about your computer or laptop at home : to prevent those hacker again can gain control to access your computer without your knowledge so that they can pull out your new gmail password ! After you fix your gmail profile and change new gmail password you need to do next is to clean up and remove the virus, malware, trojan horse ....etc whatever it is which infected inside your computer. Then you will be safe.

If you can not do it by yourself ( to remove infected file on your computer) then you really need professional help to get your computer services by a computer tech.

Good Luck.