Hi Greg
I love Oncidium's - good buy!
You got it, Sharry Baby could only be a hybrid. Botanists are generally a serious lot (yes, there are exceptions to the rule) and they don't usually give plants frivolous names like that. Sounds like someone named Sharry or someone trying to get in Sharry's good books named this plant when they bred it.
I just had a Nepenthes (a species, not a hybrid) named after my wife for pretty much the same reason, ha ha ha.
Oncidium are dead easy to grow in fact except for Dendrobium they are probably the easiest. Water, etc the same as your Phal but give it more light. I think they like the light a lot, mine do. As they have thin leaves this suggests they do too. Plants with big fleshy leaves like Phals don't, they burn easily.
I don't believe you can induce them to produce more flowers on the same spike, they're not like Phals in that respect. I find that once the spike has flowered, it dies and I have to wait (about 4 to 6 months) for it to make another. Have a look at the plant and you can see that it is actually bulbous, there are two leaves attached, at the bottom, to each bulb. I may be wrong but it seems that each bulb produces one spike and you have to wait for another bulb to develop before it flowers again from the new bulb. Maybe Merlin or someone more into orchids can confirm/ not confirm that? Just an idea I have.
Leave and see this time if you want, can't hurt.
Cheers, Troy.