I'm speculating.
If the Becks and Beyers are related, and immigrated from the Palatinate, it might have been because of the Great Migration. In 1709 a Catholic elector took over, persecuted the Protestants and some moved to America.
I also found that Maria's husband arrived in America 1731. So again speculating, perhaps they followed other relatives.
If Palatine immigrants fleeing persecution by Catholics, they were most likely Lutherans.
What significance that has to "INRI" by a Beck and a Beyer, I can't say. Just passing along a possible lead.
This was Maria Beck (Beyer's) husband: