Well I don't know about the details about that. I do know that the legislature has been totally controlled by the Democrats for decades in Mass. I believe Weld was elected during the days when Billy Bulger ran the legislature from a much bigger and more "sumptuous" office than the Governor's. It couldn't have been much fun being Governor then. Forget about any agenda, forget about even having a veto.
I've written ad infinitum about Weld on FR and elsewhere regarding his record. Weld swept into office with the largest GOP numbers seen since the 1950s (the last time the GOP controlled the legislature) due to the backlash against Dukakis. Rather than building on those gains (the GOP managed to come 4 seats short of equality with the 'Rats in the Bulger-run Senate), Weld turned out to be like the pulled-plug in the GOP tub. By the end of his reign, the Republicans were completely eliminated at the federal level (since the founding of the GOP in 1854, there was not a single election in which they didn't possess at least ONE federal seat), they dropped from 16 to 6 seats in the Senate and lost an additional 30% of their already-small legislative seats.
Even as Weld won a massive landslide against his wife's cousin in '94, he helped to sandbag Mitt Romney's Senate campaign against Kennedy and the two remaining fed Congressman barely fended off 'Rat challengers (they promptly lost as Weld ran for the Senate two years later). He told Conservatives they were NOT welcome in the party, leaving only the decrepit leftist RINOs as officeholders (often to the LEFT of the MA Democrats), which die off by the day. Romney's election to succeed the RINO troika of Weld-Cellucci-Swift was of little consequence, as he has literally no power as Governor (with almost no legislative Republicans to uphold vetoes and any other basic legislative tactics). The job of destroying the GOP as a viable force in MA is now complete (not even Romney can turn it around, and he doesn't even want to be Governor anymore - its like being a Republican Governor of a Southern state in the 1930s). I like to think MA is a prime example of what happens if the rotted liberal Rockefellerites were in control of the party elsewhere - the party would cease to exist.