Back home in Houston over this past weekend, House Majority Leader Tom DeLay (search) found little respite from his current political troubles.

Allegations of his ethical misconduct, appearing nearly daily in the press, have become troubling to his constituents.

"This is not a Democrat or a Republican issue," said one anti-DeLay protester. "Tom DeLay is a disgrace to Texas."

Another woman was more sympathetic.

"I actually feel very badly that he's having to go through this," Marlys Collins said. "Who is Washington going to pick on this week?"

For the past two weekends, DeLay's public appearances in his district, which he has represented for more than 20 years, have been met by protests.

Still, people lined up to have photos taken with the veteran Republican congressman and get his autograph.

But with rumblings that DeLay is vulnerable, both Republicans and Democrats now think that he might be beaten.

Republican Michael Fjetland (search) has challenged DeLay in two of the past three primaries. Unlike before, he says some Republicans are now urging him to run.

"There are holes in the Tom DeLay ship, and it's starting to sink, and it appears that it may be starting to sink even faster," said the Fort Bend Republican. "It's very possible that it may be a Titanic in the making."

Former U.S. Rep. Nick Lampson (search) has announced that he'll run in the Democratic primary, while Houston City Councilman Gordon Quan (search) has said he's considering his own bid.

Democrat Richard Morrison pulled 41 percent against DeLay last November, but on Monday ruled against a rematch, citing family and financial obligations.

"No man is invincible. Things have changed in the district," Morrison said before announcing that he wouldn't run.

Fort Bend County Republican Party Chairman Eric Thode disagrees.

"Tom DeLay will not be beaten by a Democrat," Thode said. "It would take a well funded, credible, solid opponent — and that individual is not out here."

In Austin, Travis County District Attorney Ronnie Earle, whom Republicans accuse of having a political agenda, continues to investigate the fundraising tactics of Delay's political action committee, Texans for a Republican Majority (search).

So far, three DeLay associates and eight corporations have been indicted.

But despite nearly constant speculation, there's still no indictment against DeLay.

Earle won't say whether DeLay himself is a target. Nor will he publicly clear the congressman's name. He'll say only that anyone who breaks the law is fair game.

New evidence keeps coming in, and as for the grand jury, there is no deadline.

Meanwhile, DeLay says his support at home remains solid.

"People see what this is all about," DeLay told FOX News. "They understand it, and they know who I am and what I've been able to accomplish, and they're rejecting the Democrats' agenda."

Click in the video box above for a complete report by FOX News' Phil Keating.