Are you looking for the whole timer or the timer motor? Have you taken the timer out of your machine and hooked it up to 120V to see what it does? Refer to reply #62 in this thread I made to Phil about working on timers. From looking at the pics that Phil posted for you in reply #38 you have a Kingston 4499-2 timer. The top view looks pretty bad, but the back view looks better. Even so the timer will most likely need maintenance. It's probably too old and dirty to work properly.
Refer to thread #50753 to see what I told James to do to his timer to revive it. I have done it but I didn't document it as well as he did. I just told him what to do. Your timer is different, but it can take the same treatment. I've worked on a newer Kingston timer and the same rules apply. You can check thread # 38714 and scroll down to reply #148. It's a long thread that I made some time ago and there is a section on timer restoration. I've learned a lot more since then and now I use Tri-flow spray to restore timers instead of oil infused kerosene. There's a lot of other info there too that you can refer back to in the future if you need to. Thread #25520 is redcarpetdrews post from 2009. It isn't about timers, but it's good information and if you're really going to get into this machine you're going to need it. I searched the archives, used posts like Drew's, combined my own mechanical instincts and created a success. You have to get dirty and commit yourself to bring the machine back to life. You basically have to tear it completely down and build it from the ground up. It will probably take all summer to get the job done and if you are not committed you will never finish. Sweat, tears, and angry outbursts can and sometimes occur. I hope you're ready. If you are we need better communication with you so we can see what you're doing to be able to help you. If you're able to be a contributing member of AW.org the site will be more useful and you will be able to take full advantage of all of it's features. Posting pictures to the site like Phil did when he helped you helps us see what you're doing so we can advise. I realize you have two new little ones to care for and may not have the time for a project like this right now, but if you do I will try and help you as much as possible and others will usually try and help too. OK, lecture over.
If the plastic pinion on the motor isn't broken you can put a drop of turbine oil on it, or better yet, if you can find it, some Tri-flow oil. It's good for sewing machines but it is also good on timer pinions and the spray is good for lubricating the timer body after cleaning it in kerosene (with the motor removed). You can probably use the spray on both the timer motor and timer body if you don't want to buy the oil and spray separately.
Here's the information I found about the motor for your timer.
I looked on the Kingston 4499 timer I have. It is installed in a console with wires all around and was hard to read but this is what I could see. The back of the timer motor reads- Kingston MOD 60-1B(or 8, the digit was hard to see), 120 VAC, 3 watt, F130, Class B.
Black print on the side of the motor reads- 57214, 3005, 1R, 60HZ.
A separate # where the motor mounts to the timer reads 3015. I'm just guessing that is the part number for the escapement and motor assembly together.
The info on the clear plastic escapement cover reads-
Model 276 BEG
B 125 VAC 15A 1/2HP
E* 125 VAC 3A
If your timer motor really is the problem maybe some of the other guys can tell you which of these numbers will be of help to you. I have never had to replace a timer motor yet, so I'm not sure which of these numbers is most important as far as motor replacement goes. I looked in the Maytag Parts Identification Manual that I downloaded from Automatic Ephemera and I didn't see that model timer listed. There are lots of timer motor manufacturers and many motor numbers listed, but I'm not sure which one to look for. I would guess the numbers on the timer back are the right ones, but I'm not sure. If you can't find the motor by it's self, any 4499-1, 4499-2, or 4499-3 replacement timer will work. I hope this helps you.