Frankel's younger brother Noble Mission has beaten Telescope for the second time to win the Group Three Huxley Stakes at Chester.
Noble Mission beat the high-profile Telescope at Sandown two weeks ago and further underscored his dominance with his new front running tactics.
Trainer Lady Cecil said Noble Mission was likely to be aimed at Royal Ascot.
"Over the winter, he did so well," she said.
"He just seemed better and stronger.
"We just thought this year he would find a lot more improvement.
"The aim is to get a Group One, but to have those two Group Threes is good.
"He's in the Hardwicke and it's always nice to have a runner at Royal Ascot. It's not for certain, but that will probably be his next target."