If you consider the wording carefully:
Until women got full legal rights, [where] they could own property themselves, [and] they could work, essentially they were owned by their fathers and then by their husbands.
Then in becomes clear that the person making this statement spoke just figuratively. Which is not verboten and essentially a common way to criticise the patriarchy entrenched in many European systems of law for quite a time.
Only in this case the historicity is a bit off, focusing on just one aspect, and emphasising other important steps in the course of women regaining rights. For just one example:
Married Women's Property Act 1882
The Married Women's Property Act 1882 (45 & 46 Vict. c.75) was an Act of the Parliament of the United Kingdom that significantly altered English law regarding the property rights of married women, which besides other matters allowed married women to own and control property in their own right.
A system that might be called patriarchy was the norm in European societies, at least up until the 20th century.
Patriarchy is a social system in which males hold primary power and predominate in roles of political leadership, moral authority, social privilege and control of property. Some patriarchal societies are also patrilineal, meaning that property and title are inherited by the male lineage.
We take note of how well both sides in that discussion in the video manage to talk past each other. Peterson seems to define patriarchy as "the persecution of women", and consequently decorates this straw man with a lot of adjectives that promote an opinionated value judgement. Lewis counters this with pointedly comparing the societal and legal situation of women with "property", without presenting a proper definition for that, just some closely related examples as evidence.
As we have at least a language and philosophy disagreement apparent regarding that word and the question as posed and clarified in comments, the most mainstream definitions to look at for this kind of question, the desired timeframe of up to 1919 and centring around English law will be the concept of coverture:
Coverture (sometimes spelled couverture) was a legal doctrine whereby, upon marriage, a woman's legal rights and obligations were subsumed by those of her husband, in accordance with the wife's legal status of feme covert. An unmarried woman, a feme sole, had the right to own property and make contracts in her own name. Coverture arises from the legal fiction that a husband and wife are one person.
Coverture was enshrined in the common law of England for several centuries and throughout most of the 19th century, influencing some other common-law jurisdictions. According to Arianne Chernock, coverture did not apply in Scotland, but whether it applied in Wales is unclear.
After the rise of the women's rights movement in the mid-19th century, coverture came under increasing criticism as oppressive towards women, hindering them from exercising ordinary property rights and entering professions. Coverture was first substantially modified by late 19th century Married Women's Property Acts passed in various common-law legal jurisdictions, and was weakened and eventually eliminated by subsequent reforms. Certain aspects of coverture (mainly concerned with preventing a wife from unilaterally incurring major financial obligations for which her husband would be liable) survived as late as the 1960s in some states of the United States.
To be even more explicit:
By marriage, the husband and wife are one person in law: that is, the very being or legal existence of the woman is suspended during the marriage,
Sir William Blackstone: "Commentaries On The Laws Of England (1765-1769)", Book 1, Chapter 15O: Of Husband And Wife
That would be in simple English:
Coverture holds that a man and a woman are a single legal entity—that of the husband. A married woman loses her own legal obligations and rights, and becomes "covered" by her husband. Traditionally a woman took her husband's last name as a symbol of this identity. A female child was covered by her father's identity. When she married that coverage transferred to her husband. Under this system a woman did not legally exist and did not own anything.
Wikipedia: Coverture compare to Catherine Allgor. "Coverture — The Word You Probably Don't Know But Should". National Women's History Museum.
That does not even cover that some men did consider and treat their women as property, without much legal repercussions, quite long after 1919.
So whatever the reasons for these laws and customs to exist or to have existed, and whether or not there were explicit laws that stated something like "women are the property of men" it is essentially one possible way to put it: that women were in effect like property of a husband or father.