There is no evidence of anyone learning to sew or cook or build a car while in the womb, so you will find 0 hard-science evidence for that. However, there is documented evidence for the child learning from the mother while inside the womb. In particular, it is well documented that the child samples the chemical environment of the womb and develops some of its sense of taste based on the chemicals that are there. Thus, if the mother eats spicy food, it is likely that some of those spicy foods include compounds that pass into the womb. In such a case, the child will learn to like those chemicals. In the link above, they gave a synopsis of Mennella et al 2006, where an experiment of the sort was done with regard to carrot juice. They found that pre-natal exposure to carrot juice instilled a preference for carrot flavored foods later.
We also see similar effects with chemicals produced in the mother's body, such as cortisol. In this study, the researchers explored the effects of cortisol levels in the mother's bloodstream during pregnancy at different times:
The consequences of prenatal maternal stress for infant mental and motor development were examined in 125 full term infants at 3, 6 and12 months of age. Maternal cortisol and psychological state were evaluated five times during pregnancy and at 3, 6 and 12 months postpartum. Exposure to elevated concentrations of cortisol early in gestation was associated with a slower rate of development over the first postnatal year and lower scores on the mental development index of the Bayley Scales of Infant Development (BSID) at 12 months. Elevated levels of maternal cortisol late in gestation, however, were associated with accelerated development over the first year and higher scores on the BSID at 12 months. Elevated levels of maternal pregnancy specific anxiety early in pregnancy were independently associated with lower scores on the BSID at 12 months. These associations could not be explained by postnatal maternal psychological stress, stress related to parenting, prenatal medical history, socioeconomic factors or child race, sex or birth order. These data suggest that maternal cortisol and pregnancy specific anxiety have programming influences on the developing fetus. Prenatal exposure to the same signal, cortisol, had opposite associations with infant development based on the timing of exposure.
This makes sense, from an evolutionary perspective. The fittest child would be one which can develop directly in response to the environment the mother has been living in. As for genetics, we do see a slow but steady acquisition of knowledge from generation to generation. It's called evolution. We see that this acquisition did occur in the slow development of opposable thumbs, for instance. However, it sounds like you are trying to do it in a shorter cycle, throwing massive amounts of information into the genetic code. This has no hard-science evidence to back it up -- it simply does not occur. There are many many limitations which make this a bad idea. In particular, how do you translate said genetic code? If you study linguistics you learn that the syntax of a language is quite separate from it semantics. The human genome "contains" about 1.5Gb of data, uncompressed. Scientists are cautious when measuring the memory capacity of the brain in bytes, because it's a really bad measure of mental capacity, but when they do, the result is around 2500Gb. This means that if you stored 0.1% of the content of your brain in genetic code, you would triple the size of our DNA! This interacts very strongly with the earlier comments about linguistics. You not only have to provide the bits of information that you believe need to be embedded in your child's DNA, but you also have to provide enough to interpret the semantics of the parts you cared about. Such a concept is far beyond current science. But, you can imagine how poorly it could go unless women were highly educated to be extremely selective regarding what knowledge they record into their child. A rash of children pre-nataly obsessed with American Idol could be the end of a species.
I think this is the closest to a hard-science answer you can get for your question. As stated above, we have no evidence of learning a trade or learning history or learning mathematics from the mother, so you will not find hard-science evidence to support such theories. However, we do see this occurring at a lower level, in the biochemistry of the mother and child. One could choose to extrapolate from this as far as they see fit. Perhaps an alien species has a more comprehensive language built up of chemicals that the mother can use to guide their child in-utero. Such exploration is far beyond the hard-science tag, but the realty is that children do learn this way in a limited sense.
