How to send bitcoins through blockchain

[Minajx]

Suppose that lana wants to send 10 Bitcoins to ken, then first of all she will have to digitally sign this transaction using her private key (which is only known to her). She will have to address the transaction to ken’s public key, which is ken’s address on the Bitcoin network. Next, the transaction, which will be collated into a “transaction block”, will have to be verified by the nodes within the Bitcoin network. Here, lana’s public key will be used to verify her signature. If lana’s signature is valid, the network will process the
transaction, add the block to the chain and transfer 10 Bitcoins from lana to ken.

[Charles-Tim]

Suppose that lana wants to send 10 Bitcoins to ken, then first of all she will have to digitally sign this transaction using her private key (which is only known to her).

Signing a transaction is just an automatic process, but you have to manually do it while using watch-only wallet to create the signature which will be transferred to cold wallet for signing.

To know more about bitcoin transaction, you can use this chapter of master bitcoin for it.

[o_e_l_e_o]

Your steps are in the wrong order.

You can't sign a transaction before you specify the recipient's address(es). If you change the address, the signature becomes invalid.

Transactions are not included in a block prior to being verified. First nodes verify them, and then later they can be picked by miners to be included in a block.

If the signature is valid, the transaction is not immediately added to a block, but rather added to a pool of unconfirmed transactions called the mempool. Depending on its fee depends on whether or not miners choose to include it in a block.

[hugeblack]

She will have to address the transaction to ken’s public key, which is ken’s address on the Bitcoin network.

There is no "ken’s address on the Bitcoin network," Bitcoin does not have a huge database showing which addresses can be used. You can send Bitcoin to any valid address.
Also, there is no central network that includes transactions into the block, but rather a group of mining pools, which no one knows will mine the next block.