I just wanted to follow this up since this thread was helpful for me as well.
I received an email from <
ldsmemberlocators@ldschurch.org>, so a little different than the one listed on this thread, and was also concerned about it.
I emailed back requesting a number to contact and was given the number for LDS Church Headquarters - 801-240-1000. I verified that the number was listed on lds.org somewhere and that it was legitimate, and then went ahead and called to relay the information.
I was directed to the Church History and Member Locators office or something like that, and a lady took down the information for me.
Just in case anyone gets a similar email and doesn't want to provide the information digitally.
Have a bless day everyone!