I couldn't find many times. I did find one of interest, though!

An article titled: Bipartisan Support Builds for Inclusion of Armenian Genocide in Memorial

From The Armenian Reporter International (dated 3rd of July, 1980).

Says this:

WASHINGTON, D.C. -- "Besides the historical justification, I believe including the Armenian experience (in the programs of the U.S. Holocaust Memorial Council) underlines a crucial message: that to ignore the genocide of any community within the human family is to imperil the existence of all communities," stated Representative Toby Moffett (D-CT) in a letter to the Armenian Assembly, received in response to its letter-writing campaign to all members of Congress. In a follow-up letter sent to some 60 selected Congressmen, the Assembly again asked for each member's affirmative statement on this matter of fundamental importance to the Armenian community.

In the responses received to date, support has come from Democrats and Republicans alike.

However, there was no formal bill I can see that was passed, or attempted, despite the support given for the terming of it and inclusion of it in memorials.

It seems that pressure by the Turks and reluctance to alienate anyone at any point, plus a fading memory of the issue before a later resurgence of interest in the 1980s and 1990s, meant that it was not going to be formally recognized very early on. I wish I could find more on the subject, but I haven't had any luck!