Submit the obituary under the name Middlename Surname so that the headline will show up in the publication or on the website as one of the following, depending on the style of the publisher:
- Middlename Surname
- Surname, Middlename
Then, in the body of the obituary, write something like this:
Firstname Middlename Surname was born in Someplace, Biggerplace, on Month DD, YYYY, to Father and Mother Surname. Middlename grew up in Otherplace and studied Subject at University of Wherever, where he met the love of his life...
The reason for including Firstname at all is genealogical. Decades in the future, descendants and other researchers may find official documents under the name "Firstname Surname" or "Firstname M. Surname" and wonder who that is and whether that's the same person. The obituary is your chance to leave breadcrumbs for the future.