No problem, thanks for trying. The fitting looked larger in the picture you posted.
Can you tell if that fitting is soldered into the valve or does it look like it is threaded in? Try cleaning the connection below that fitting with a wire brush to see if it is actually threads. IF it is a threaded fitting, you might be able to unscrew it from the valve using 2 wrenches, a pipe wrench to hold the globe valve and a crescent wrench or 2nd pipe wrench on the flats of the fitting. Sometimes though some portion of an OLD threaded fitting could break off in the valve which just requires more work to remove the broken piece.
If you can unscrew the fitting, just take it to the store and match it up for a hose OR if you can't find a match, the store should be able to get the right part to replace that fitting so you can hook it up with the correct hose to the sink faucet.