It has been a common idea, especially among linguists, to say that Baltic Finnic languages came from the Volga region, from so called Volga river bend near Samara. It is a carefully cherished tradition in Finnish science, but any movement of people from there to Finland is still without genetic evidences. Now I am going to prove something which contradicts with this idea of the Volga origin of Finns, or at least gives a new view about it. I'll show a plausible genetic evidence of Volga-Saami connection using the Saami sample (Haak et al. 2015 and Lazaridis et al. 2014), which shows very high similarity with the ancient Eneolithic Samara sample (Mathiesson et al.).
The other half of my Finnish story tells about ancient Central-European influence in Finland. Around 20% of Finnish samples from the 1000genome project show Corded-Ware similarity comparable to Estonians and Lithuanians, and Western Finnish project samples show equally Corded-Ware similarity with Swedes, some even more, despite of the fact that they are much more "eastern" when compared to present-day Swedes.
This Finnish duality doesn't tell were and when the mixing occurred and so far I have not seen any genetic evidence about the Baltic Finnic origin. It looks very possible that genetically Baltic Finns were born somewhere in region from Estonia to White Sea, no matter what the origin of Baltic Finnish language could have been.
Saamis are genetically closer for Eneolithic Samara people than Mordovians (Mordva) and Chuvashes. Worth noticing is that Mordovians, who live near Volga are not closer those ancient people living in Samara. Saami people live thousands kilometers and thousands years away from what was the suggested Volga home range. Siberian admixture of Chuvashes roughly equals to Saami Siberian. This statistic has however very limited use, because Saami people are not Central Europeans, but still the statistic shows them being comparable to Central Europeans when compared to ancient East European samples. What could be the best outcome?
Probably some readers can think that the Eneolithic Samara - Saami - Finnish genetic connection is only based on the amount of Siberian. It is not true and easily proved false. Chuvashes and Mansi people (and Komis, not included) with high Siberian admixture are far away from the Eneolithic Samara, definitely not comparable to the Saamis. Similarly those Finns being closest Eneolithic Samara have less Siberian than Russians living in Archangel and Pinega regions in Russia (look project results).
Only people in northernmost Europe beat Saami_WGA in comparison with Eneolithic Samara. Have to admit, this is a bit complicated question. Then let's look at another perspective of supposed Finnish ancestry, Corded Ware samples. It is less complicated.
Corded Ware results
Only Lithuanians beat the Finnish CW-group (20% of Finnish samples from the 1000g project after removing outliers) when the test is done using over half million SNPs. Even Lithuanians would be beaten with more homogeneous Finnish sample group. There is all variations from very CW-looking to only moderately CW-looking. They don't look like coming from Volga bend. Not really.
Then combining Saami and CW results and project members. To do this I have to use my smaller data base, based on Estonian Biocentre's data. The accuracy is somewhat poorer. Numbers show the difference between Eneolithic Samara and German Corded Ware affinities in Finland and in neighboring countries, as well as results for project members. Using Eneolithic Samara and CW samples the Siberian-like admixture becomes excluded and results show only affinities common for those two groups, even if tested populations or project members have extra Siberian admixture. It is important to understand that this table alone doesn't tell how much individuals and populations have those two ancient affinities (it tells only a ratio). To see the big picture you have to take into account also two previous tables showing how significant is the relation between ancient and modern populations.