Two branches of the the Kuźniewski family lineage may belong to heraldic clans with a coat of arms ("herb" in Polish). They are the Sadowski family, of the clan Nałęcz, and the Gorczynski family, of the clan Jastrzębiec. As a result of the tribal (clan) system, which influenced all the countries of the Polish Commonwealth, the nobility consisted of more than forty thousand families who use about seven thousand different arms, including coat of arms of Western origin. A second result of this system was that homonymous families with surnames derived from estates with identical names, can bear different arms depending upon the clan to which they belong, such as the family Koźniewski, from Ciechanów, and Kuźniewski, from Koziebrody, 27 miles due west. The family Kozniewski is part of the Ostoja clan.
Nałęcz is a Polish coat of arms from the 12th century (like the Abdank, Leliwa, Radwan, and Bogorya coats of arms) that represented unity and harmony. It was used by the Gembiccy, Ostrorogowie, Szamotulscy, Czarnkowscy, Raczyńscy, Dworniccy, Sadowski, Łowińscy, and other families. It is traditionally described as a silver shawl, tied, on a red background. Most versions had the shawl tied downwards; some were tied upwards. Earlier versions and some modern ones depict the shawl untied. The shawl is similar in the shape to Teutonic image of Rune Othila, the Rune of a Fatherland. The Nałęcz arms were initially connected with Greater Poland. The Nałęcze were accused of murdering Przemysł II in 1296. They also allied with Brandenburg against Władysław I the Elbow-high (Władyslaw Łokietek), and after the death of Louis I of Hungary waged war against the Grzymalits, attempting to put Ziemowit III of Mazovia forcibly on the throne of Poland. The best-known Poles who bore these arms were Joseph Conrad (Korzeniowski) and Sędziwój Ostroróg. The Nałęcz relief is on the Guard House building in Poznań.
"According to Paprocki, this armorial bearing has the name Jastrzębiec because the clan's ancestors, while still pagans, bore on their family crest a hawk (Jastrzab in Polish). But later, in the days of King Bolesław the Brave, circa 999, when pagan enemies hurled abuse upon our forces, saying, "Send forth one from among you who is willing to fight for Christ in a challenge against one of our men." Having heard this a knight, one Jastrzebczyk scion of the Jastrzebiec clan, moved by the fervor of faith and the praise of God, invented shoes for the horses' hooves and, having shod a horse with them, succeeded in forcing his way up the mountain. He fought the Pagan, who had hitherto been jeering haughtily, captured him, and brought him to the King. After he had given the other soldiers of the Polish cavalry this method, when they had shod their horses and made their way up the slippery mountain, covered with ice, they destroyed and defeated the enemy. As a reward for his ingenuity he received from that King a variation of his arms, adding a horseshoe with a cross to the shield and elevating the hawk to the helmet. This is what Paprocki and all others who wrote about these arms say.