Blood doesn't help a spirit's Search power; they just need a clear mental image of the target (Search, SR5 p.400).
Blood can be a Material Link for ritual magic (Material Link, SR5 p.297), which can be used indirectly to track a person through astral space (Astral Tracking, SR5 p.315). This requires a ritual with the "Material Link" keyword -- in the basic rulebook, the only option is Curse (p.297), which lets you cast an illusion spell from a distance. It also takes a magical lodge, some reagents, and several hours (all based on the Force of the ritual). While the ritual is in progress, there's a magical connection between the ritual caster and the target. This connection can be tracked (both ways, so watch your back), but there's a catch: since the ritual caster is busy casting the ritual, they need someone else to make the actual Astral Tracking test. That's where your spirit comes in, unless you have a second magician on the team.
In the absence of a Material Link, initiates who learn Psychometry (SG p.144) can use a favorite item as a Sympathetic Link (SG p.145). This makes the Ritual Spellcasting test harder, but has no effect on the Astral Tracking test. An enchanter who knows Psychometry can also craft a Symbolic Link, like a voodoo doll, depending on how well acquainted they are with the target (SG p.216).