Hillary Clinton became the first female candidate to clinch the presidential nomination of a major political party, 96 years after women won the right to vote.

“Some of us are just terribly moved by this moment,” said Judith Hope, 76, the first female head of the New York Democratic Party, who founded the Eleanor Roosevelt Legacy Committee. “The significance of this cannot be overstated.

“When my mother was born, women did not have the right to vote, so we’ve come, in really just a few generations, having to fight for the right to vote to finally a potential woman head of state.’’

As for how Mrs. Roosevelt would react to Clinton’s success, “It just gives me goosebumps to think about what she would say,’’ Hope said.

The two daughters of late former vice presidential hopeful Geraldine Ferraro said their mom would be “thrilled’’ to see Clinton on the November ballot, too.

Ferraro, who was from New York City, made history as the first woman nominated for national office by a major party when she became running mate to Democratic presidential candidate Walter Mondale in 1984.

She and Mondale lost in a landslide to Ronald Reagan and George H.W. Bush, but Ferraro remained a major female role model. She died in 2011 at age 75.

“I wish I could obviously celebrate with my mother because it is such an exciting milestone — I know she wanted it to happen in her lifetime,’’ Laura Lee, Ferraro’s younger daughter, said of Hillary’s expected nomination.

“I think it surprised her that it didn’t happen before she passed away, that it was taking so long,’’ said Lee, a pediatrician in Massachusetts.

“For me, it’s incredibly meaningful,’’ she added. “Ironically, I almost think it’s more meaningful than when I pulled the lever to vote for my mother at age 18.

“I was only 18 years old, and I know I didn’t have an appreciation for the gender gap and the glass ceiling. Now, I feel like I have much more insight.’’

Ferraro’s other daughter, documentary filmmaker Donna Ullman, 52, of Manhattan, added, “People said that in 1984, when they saw my mother up there [on the podium], that it changed what they thought was possible.”

Clinton is not the first woman to run for president. The first woman was activist Victoria Woodhull, who ran on the Equal Rights Party line in 1872 — although she couldn’t even vote for herself.

The first black female candidate was Charlene Mitchell, who made it on the ballot in a handful of states in 1968 on the Communist Party USA line.

There have been several dozen female contenders, including Shirley Chisholm, Elizabeth Dole and Carol Moseley Braun.

And actress/comedian Roseanne Barr even threw her hat into the ring in 2012 with the Peace and Freedom Party. She actually came in sixth — garnering 49,534 votes, according to the Huffington Post.

Clinton, who ran against Barack Obama in the 2008 primary, temporarily had female company from the other side of the aisle this year. Carly Fiorina ran in the Republican primary until February.

The head of the National Organization for Women, Sonia Ossorio, said her office spent Tuesday celebrating Clinton’s clinching of the party nod.

“We’re on the cusp of a new era,’’ she said. “We did this video, and it has all the presidents, and it starts off and goes faster, faster, faster. They’re all men. And then the last one slows down, and it’s Hillary. It kind of says it all in about 30 seconds.”

Ossorio added that she isn’t surprised Clinton is the first major female candidate because “unfortunately, change takes a very long time.”

But “it sends a huge message to not only young girls but also to boys that women are capable to the utmost, that women — their mothers and their sisters and their colleagues — can do anything,’’ Ossorio said.

Clinton’s all-girl alma mater, Wellesley College, was so proud of its alum that it released audio excerpts from her 1969 valedictorian speech for the first time Monday.

Talking about her “years dominated by men with dreams, men in the civil rights movement, the Peace Corps, the space program,’’ Clinton told her female classmates, “we found there was a gap between expectations and realities.

“But it wasn’t a discouraging gap, and it didn’t turn us into cynical, bitter old women at the age of 18. It just inspired us to do something about that gap.

“Fear is always with us,’’ she said. “But we just don’t have time for it. Not now.”

But one woman wasn’t buying any of the hype.

Clinton “hasn’t shattered any glass ceiling. She has gotten anywhere she has on her husband’s coattails,’’ said Betsy McCaughey, the Republican former lieutenant governor of New York.

“Although I would welcome more women in politics, more women in every career, I don’t welcome Hillary Clinton because she has a long track record of failure.

“I met her when I was lieutenant governor and she was the first lady. I found, toward me particularly, she was acerbic and unfriendly.’’