They put Republicans in Texas and beyond on notice Saturday that they plan to take their campaign all the way to the national convention in August in Tampa, Fla.

Paul backers attended Republican Senate district conventions locally and statewide, making a push to gain more control of the party.

One of their chief goals is gaining delegates to the state convention -- and ultimately the national convention -- so they can push Paul's positions in the party platform and help the libertarian-leaning congressman gain the nomination if an unlikely opportunity presents itself.

It was unclear Saturday how much progress Paul supporters made statewide. But a proposal from Senate District 10 -- which is the largest Republican senatorial convention in Tarrant County and which met at Lamar High School in Arlington on Saturday -- to change the way delegates are sent to the state convention failed after about an hour of debate.