Moore said on Monday that Nelson's accusations were "absolutely false".
Jones largely downplayed the allegations of misconduct against Moore during a brief press conference.
Pastor Al Moore of Creola, Alabama, said that he received the call on his cellphone a little after 7 a.m. Tuesday from a private number, which he did not answer.
The caller said he would not be "fully investigating these claims" but would make a written report.
Several women have accused Moore of seeking romantic relationships with them while they were teenagers. That's how he justifies supporting Roy Moore, accused of assaulting a 14-year-old girl among other five women who've accused the Republican Judge - as if Donald Trump were not already actually doing great harm to our country.
Roy Moore has denied the allegations, and has showed no indication that he intends to bow out of the race. Ryan says allegations against Moore "are credible".
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Some Republicans have floated the idea of abandoning Moore and rallying around a write-in candidate, perhaps Sessions, who remains popular in Alabama.
Speaking to reporters on Tuesday, Ryan joined the growing chorus of Washington Republicans calling on Moore to quit the race after two women stepped forward describing how Moore groped them when they teenagers decades ago.
Moore said he mentioned the call to a couple of members of the church and quickly realized that it didn't add up.
The sharply contrasting reactions coming out of Washington and Alabama underscore the challenge Republican leaders face as they try to force Moore out of the race and enlist a candidate who can defeat his Democratic opponent, Doug Jones, so neither of the current candidates winds up joining the Senate.
Roy Moore's support from his fellow Republicans is hemorrhaging. All were initially reluctant to speak publicly but chose to do so after multiple interviews, saying they thought it was important for people to know about their interactions with Moore.
Moore has suggested that McConnell and other establishment Republicans were working in tandem with news media to discredit him. 51% of the undecided vote said they were undecided or that the allegations made no difference to their vote.
Senate Majority Leader Mitch McConnell, R-Ky., initially said Moore should exit if the allegations were true. Moore says McConnell should leave his post because he's disappointed conservatives.