A Texas woman who was a friend of and fund-raiser for Representative Michael G. Grimm has been charged with illegally funneling more than $10,000 into his 2010 campaign, according to court papers and people with knowledge of the case. The charges suggest that a two-year-old federal investigation into his fund-raising is still active.

The woman, Diana Durand, 47, of Houston, was arrested there on Friday by the F.B.I. on a criminal complaint filed in United States District Court in Brooklyn charging she used “straw donors” to mask more than $10,000 in illegal donations to Mr. Grimm. She had already donated $4,800, the legal limit.

The three-count criminal complaint also charges her with illegally funneling $4,800 to another congressman and with lying to F.B.I. agents about the donations.

Mr. Grimm, a Republican who represents Staten Island and parts of Brooklyn, has been at the center of a federal campaign finance investigation since at least early 2012. Among the points of interest for investigators is that several contributors said Mr. Grimm or his chief fund-raiser told them that his campaign would find ways to accept donations that exceeded legal limits, were given in cash or came from foreigners without green cards.