I was taught as a server to bow the head (simple bow) at the name of Jesus. I do this when I serve at the Ordinary Form and am told that it is in the GIRM. I just do what I’m told by the person who trains the altar servers.
There are different kinds of bows…
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Profound Bow is done at the waist to the point where the hands can just about touch the knees.
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Moderate Bow is a marked inclination of the head and shoulders but much less than a profound bow.
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Simple Bow is done only at the neck and is subdivided into proufound, medium and slight.
The Book “
How to Serve” by Dom Matthew Britt, O.S.B. says of the “Profound simple” bow relative to altar servers at the Mass at the time the book was written in 1934;
"It is very common. It is the proper saulutation to make to the cross in the sacristy, to the chior or clergy, to the celebrant, and before and after incensing anyone."
Not that by Choir it is not meant the singers in the “chior loft” but the clergy who occupy stalls near the sanctuary as in old churches and monasteries. The same book says of the profound bow done at the waist;
"There is no instance, not even during the Confiteor, when an altar boy makes it."
I have seen Franciscan Priests celebrating the OF do a very profound bow toward the tabernacle to the point of having the upper part of the torso horizontal as they move out from the presiders chair to read the Gospel.
Again, I am told to bow the head at the name of Jesus in the OF and that it is in the GIRM. I just do what I am told. I’ve not heard about doing it at the name of Joseph or Mary but confess that sometimes my eyes close and I do a slight bow of the head at the name of Mary. Call me a softie… I can’t help it.
-Tim-