There was H A Clegg and sons, Stonemasons, Chester, this company had an input on the Birkenhead War Memorial, Hamilton Square. There was a firm of Monumental masons on Holt Hill but I haven't found the name Clegg associated with them yet.
So far I've come across, James Hamilton snr, James Hamilton Jnr, Stonemasons and Robert James Hamilton, Quarry owner. No doubt many family connections in Stone masonry.