I read a thread in the history section of the Total War Forums talking about the term "Broken Lance" (which was a special unit for the Italian faction) and about the origin of the term. Generally a traditional "Lance" supposedly consisted of a mounted knight/men at arms, a combative squire and a auxiliary squire. If I recall, it seems to be the case that it was less common for that squire to also be ridding his own horse and are usually on foot (Such as a Guisarmer or an archer.) So I wonder how that actually works in the battlefield. Did the squire just followed and fought with his liege in the general vicinity?
Could you provide a link to the thread in question?
Generally, in medieval Italian warfare, infantry would stand in the center while cavalry engaged on the flank. Although an individual knight might travel with two or more attendants (sometimes referred to as squires) if they possessed arms they would go stand with the infantry, but more commonly at least one would attend to the knight; the standard military tactic for heavy cavalry was repeated charges until a breakthrough allowed the opposing infantry to be encircled. Between charges, a knight might want to rinse himself off, drink water, or even exchange a broken weapon with a new one. Squires could also be sent to watch the baggage. It really depends.