PORTLAND, Me. — Elated by their first ballot victories, in four states, advocates of same-sex marriage rights plan to push legislatures in half a dozen more states toward legalization as they also press their cause in federal courts. They are also preparing for what they hope will be another milestone: the electoral reversal of a constitutional amendment defining marriage as solely between a man and a woman, in Oregon in 2014.

Nine states and Washington, D.C., have now legalized same-sex marriage. Though it remains unpopular in the South, rights campaigners see the potential for legislative gains in Delaware; Hawaii; Illinois; Rhode Island; Minnesota, where they beat back a restrictive amendment last Tuesday; and New Jersey, where Gov. Chris Christie vetoed a bill to legalize same-sex marriage in February.

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