i think it mean is "my friend's mother's name"
Nope I'd say since the woman in the picture is a
family friend and not your real mom unless your playing it as an incest patch for this game.
Then "My mom's friend's name?" is more accurate she may also be your friend but she is described as a
family friend and that usually refers to them being primarily either your father or mother's friend.
However the Picture on OP refers to the male so "My mom's friend's name" would still be correct.
I believe that only comes up when renaming character's and although technically the female can be "My mom's friend's name" and the male can be "My dad's friend's name" they are normally the main friend of only one of your family so would normally be referred to as either "MY Mom's friends" or "My Dad's friends" for both and not normally one being "My Mom's friend" and the other being "My Dad's friend" which is possibly why the confusion in this case?.
Along with other issues I have come to expect as normal for instance If your friend Eric Johnson's mom's name is Tammy Johnson then out of respect you would call her "Mrs Johnson" or if she asked you too then just "Tammy".
But you wouldn't call her "Mrs Tammy" not if you was a native English speaker.
And usually if there's a bulge in anyone's pants its normally his and not her's.
hermaphrodite's and Lady Boy's being the exception's.
But these things are not usual for these game's and since most English speakers miss stuff like that anyway really not a problem.
Lets be honest it's not really fair to expect perfect scripts when not all game dev's have access to or if not can employ proofreaders.
This is not a dig at this game or the Dev.
I look forward with interested to seeing this game's progrees
Just Sayin.