Thanks to everyone who commented on this topic. There is a lot of very useful information contained in your messages.
I thought I would document what I did and what happened. I connected my GPSDO to channel 1 of my scope and a MV89A to the second channel. I Tee'd the input to the second channel and routed the MV89A output to input A of the HP5335A. After the GPSDO locked, I adjusted the MV89A frequency adjust voltage so the two signals were almost stationary and then adjusted the HP10811 frequency control so the HP5335A read 10,000,000.02. The .02 Hz offset occurred because I couldn't get the reading any closer to 10MHz exactly.?
For the first several hours, the two signals would drift with respect to each other. I would periodically change the voltage to the adjust pin of the MV89A to make the two signals stationary with one another. Eventually (after about 3-4 hours) the drifting stopped. The configuration has been running for about 10 hours now and looking in periodically confirms the signals are no longer drifting with respect to one another. The HP5335A display now reads 10,000,000.01 and has stayed constant for the last several hours.
Since the two signals are stationary with respect to each other, I think this confirms that aligning the frequency display using just the GPSDO would have worked just fine. However, it is interesting to verify that the MV89As are pretty stable after warmup (not necessarily for long-term time keeping, but for the short- and medium-term). I will keep the configuration running overnight and see if there are any changes in the morning.
I won't be running the "calibration" for more than 24 hours, as I do not intend to use the HP5335A for long-term experiments.
Dan