First, I want to "second the motion" by Daniel R Hicks to read Sheldon Brown's excellent page on tire sizes: http://sheldonbrown.com/tire-sizing.html
14-inch tires are not particularly common. In fact, Sheldon Brown's charts include 16" and 12-1/2" tires, but they don't mention 14" tires.
However, ebay lists some, including 1.75, 2.00 and 2.125, but, as you've found, no 14x1.95.
However, a "completed auctions" search finds that a couple of people have sold tubes for 14" x 1.75/1.95/2.125 tires, which suggests to me that those three tire sizes must be pretty close to one another:
Also, if you look at the "Width Considerations" chart on Sheldon Brown's page, you can see recommendations for how much variation is acceptable in tire widths. In general, it indicates that a 5-7 mm deviation from optimal is acceptable, and he says that the chart is conservative. 1.95 x 25.4 mm/inch = 49.53 mm, so you need a tire width between about 43 and 56 mm, which is 1.69 to 2.20 inches. 1.75, 2.00, and 2.125 are all in that range, so I think any of them will probably work.
There's an eBay seller selling a "New 14" Kenda black tire" for $5 plus shipping. You could get a pair for about $20, including shipping. They are 14x1.75.
As of today, someone on eBay is selling: "Kids Bicycle White Wall Tires and Tubes 14x1.75 Fits 1.95 2.125 BMX 14" Stroller" so maybe they would work. Here's a search which finds it (and some tubes):