The "small private ceremony" was a civil ceremony not recognized by the church.  They were "married in the church" later; but I may have erred in saying that Cardinal Wuerl presided.  I can't confirm that; I may have confused the wedding with the ceremony of reception into the church. 
If Gingrich was received into the church with other candidates during the Easter Vigil, with Cardinal Wuerl presiding as Archbishop of Washington, I would be ok with that. I don't think the cardinal should have presided over a ceremony just for Gingrich. BUT: I don't feel as strongly about that as I would about the wedding; and I recognize that persons of good will can disagree.  I'll see if I can find out who officiated at the church wedding.
It's important to understand that Gingrich was not /is not simply a divorced/remarried person. He caused a lot of pain and made a lot of victims as he pranced through his first two marriages.